86295264 has 288 divisors, whose sum is σ = 289578240. Its totient is φ = 22302720.

The previous prime is 86295257. The next prime is 86295269. The reversal of 86295264 is 46259268.

86295264 = T₂₁ + T₂₂ + ... + T₈₀₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86295269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3751957 + ... + 3751979.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^86295264 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 86295264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

86295264 is an abundant number, since it is smaller than the sum of its proper divisors (203282976).

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

86295264 is a wasteful number, since it uses less digits than its factorization.

86295264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 86295264 is about 9289.5244227032. The cubic root of 86295264 is about 441.9050730126.

The spelling of 86295264 in words is "eighty-six million, two hundred ninety-five thousand, two hundred sixty-four".