87262592 has 64 divisors (see below), whose sum is σ = 186721200. Its totient is φ = 40495104.

The previous prime is 87262579. The next prime is 87262607. The reversal of 87262592 is 29526278.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×87262592² = 15229519925116928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128558 + ... + 129234.

Almost surely, 2^87262592 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 87262592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93360600).

87262592 is an abundant number, since it is smaller than the sum of its proper divisors (99458608).

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

87262592 is a wasteful number, since it uses less digits than its factorization.

87262592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 751 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 87262592 is about 9341.4448561237. Note that the first 3 decimals coincide. The cubic root of 87262592 is about 443.5501219246.

The spelling of 87262592 in words is "eighty-seven million, two hundred sixty-two thousand, five hundred ninety-two".