86960952 has 224 divisors, whose sum is σ = 279108480. Its totient is φ = 25194240.

The previous prime is 86960947. The next prime is 86960957. The reversal of 86960952 is 25906968.

It is an interprime number because it is at equal distance from previous prime (86960947) and next prime (86960957).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 86960952 = 252³ + 414³ = 336³ + 366³.

It is a junction number, because it is equal to n+sod(n) for n = 86960898 and 86960907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86960957) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2350278 + ... + 2350314.

It is an arithmetic number, because the mean of its divisors is an integer number (1246020).

Almost surely, 2^86960952 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 86960952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139554240).

86960952 is an abundant number, since it is smaller than the sum of its proper divisors (192147528).

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

86960952 is a wasteful number, since it uses less digits than its factorization.

86960952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 86960952 is about 9325.2856256524. The cubic root of 86960952 is about 443.0384597020.

The spelling of 86960952 in words is "eighty-six million, nine hundred sixty thousand, nine hundred fifty-two".