1663000956 has 120 divisors (see below), whose sum is σ = 4447563120. Its totient is φ = 541728000.

The previous prime is 1663000951. The next prime is 1663000961. The reversal of 1663000956 is 6590003661.

1663000956 is a `hidden beast` number, since 16 + 630 + 0 + 0 + 9 + 5 + 6 = 666.

1663000956 is a nontrivial binomial coefficient, being equal to C(57672, 2).

It is an interprime number because it is at equal distance from previous prime (1663000951) and next prime (1663000961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1663000956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663000951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2912151 + ... + 2912721.

It is an arithmetic number, because the mean of its divisors is an integer number (37063026).

Almost surely, 2^1663000956 is an apocalyptic number.

1663000956 is the 57671-st triangular number and also the 28836-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1663000956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223781560).

1663000956 is an abundant number, since it is smaller than the sum of its proper divisors (2784562164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1663000956 is a wasteful number, since it uses less digits than its factorization.

1663000956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1663000956 is about 40779.9087296674. The cubic root of 1663000956 is about 1184.7612273281.

The spelling of 1663000956 in words is "one billion, six hundred sixty-three million, nine hundred fifty-six", and thus it is an aban number.