1663611400 has 96 divisors (see below), whose sum is σ = 4261870080. Its totient is φ = 598880000.

The previous prime is 1663611359. The next prime is 1663611403. The reversal of 1663611400 is 41163661.

It is not an unprimeable number, because it can be changed into a prime (1663611403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218457 + ... + 225943.

It is an arithmetic number, because the mean of its divisors is an integer number (44394480).

Almost surely, 2^1663611400 is an apocalyptic number.

1663611400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1663611400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130935040).

1663611400 is an abundant number, since it is smaller than the sum of its proper divisors (2598258680).

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

1663611400 is a wasteful number, since it uses less digits than its factorization.

1663611400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1663611400 is about 40787.3926599875. The cubic root of 1663611400 is about 1184.9061745103.

It can be divided in two parts, 166361 and 1400, that added together give a palindrome (167761).

The spelling of 1663611400 in words is "one billion, six hundred sixty-three million, six hundred eleven thousand, four hundred".