985677264 has 240 divisors, whose sum is σ = 3272540544. Its totient is φ = 273024000.

The previous prime is 985677257. The next prime is 985677313. The reversal of 985677264 is 462776589.

985677264 is a `hidden beast` number, since 9 + 8 + 567 + 72 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 985677264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3109234 + ... + 3109550.

Almost surely, 2^985677264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985677264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636270272).

985677264 is an abundant number, since it is smaller than the sum of its proper divisors (2286863280).

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

985677264 is a wasteful number, since it uses less digits than its factorization.

985677264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 985677264 is about 31395.4975115860. The cubic root of 985677264 is about 995.2027781290.

The spelling of 985677264 in words is "nine hundred eighty-five million, six hundred seventy-seven thousand, two hundred sixty-four".