86952960 has 352 divisors, whose sum is σ = 336035520. Its totient is φ = 21233664.

The previous prime is 86952959. The next prime is 86952967. The reversal of 86952960 is 6925968.

86952960 is a `hidden beast` number, since 8 + 69 + 529 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86952967) 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, 2350062 + ... + 2350098.

Almost surely, 2^86952960 is an apocalyptic number.

86952960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168017760).

86952960 is an abundant number, since it is smaller than the sum of its proper divisors (249082560).

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

86952960 is a wasteful number, since it uses less digits than its factorization.

86952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

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

The square root of 86952960 is about 9324.8571034628. The cubic root of 86952960 is about 443.0248870514.

The spelling of 86952960 in words is "eighty-six million, nine hundred fifty-two thousand, nine hundred sixty".