86912952 has 128 divisors (see below), whose sum is σ = 263208960. Its totient is φ = 23379840.

The previous prime is 86912941. The next prime is 86912953. The reversal of 86912952 is 25921968.

It is a super-2 number, since 2×86912952² = 15107722450708608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86912953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320577 + ... + 320847.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 2^86912952 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 86912952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

86912952 is an abundant number, since it is smaller than the sum of its proper divisors (176296008).

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

86912952 is a wasteful number, since it uses less digits than its factorization.

86912952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 86912952 is about 9322.7116226986. The cubic root of 86912952 is about 442.9569297758.

The spelling of 86912952 in words is "eighty-six million, nine hundred twelve thousand, nine hundred fifty-two".