985268760 has 64 divisors (see below), whose sum is σ = 3378067200. Its totient is φ = 225204096.

The previous prime is 985268759. The next prime is 985268773. The reversal of 985268760 is 67862589.

It is a super-3 number, since 3×985268760³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585630 + ... + 587309.

It is an arithmetic number, because the mean of its divisors is an integer number (52782300).

Almost surely, 2^985268760 is an apocalyptic number.

It is an amenable number.

985268760 is an abundant number, since it is smaller than the sum of its proper divisors (2392798440).

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

985268760 is a wasteful number, since it uses less digits than its factorization.

985268760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172960 (or 1172956 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 985268760 is about 31388.9910637472. The cubic root of 985268760 is about 995.0652752140.

It can be divided in two parts, 985 and 268760, that added together give a triangular number (269745 = T₇₃₄).

The spelling of 985268760 in words is "nine hundred eighty-five million, two hundred sixty-eight thousand, seven hundred sixty".