1285957764 has 144 divisors (see below), whose sum is σ = 4082915200. Its totient is φ = 339111360.

The previous prime is 1285957747. The next prime is 1285957769. The reversal of 1285957764 is 4677595821.

1285957764 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 9 + 577 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1285957764.

It is not an unprimeable number, because it can be changed into a prime (1285957769) 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 47 ways as a sum of consecutive naturals, for example, 156519 + ... + 164529.

Almost surely, 2^1285957764 is an apocalyptic number.

1285957764 is a gapful number since it is divisible by the number (14) 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 1285957764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041457600).

1285957764 is an abundant number, since it is smaller than the sum of its proper divisors (2796957436).

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

1285957764 is a wasteful number, since it uses less digits than its factorization.

1285957764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8055 (or 8036 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 1285957764 is about 35860.2532617939. The cubic root of 1285957764 is about 1087.4490084692.

The spelling of 1285957764 in words is "one billion, two hundred eighty-five million, nine hundred fifty-seven thousand, seven hundred sixty-four".