86501376 has 216 divisors, whose sum is σ = 283955490. Its totient is φ = 25214976.

The previous prime is 86501369. The next prime is 86501383. The reversal of 86501376 is 67310568.

86501376 is a `hidden beast` number, since 86 + 501 + 3 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (86501369) and next prime (86501383).

It can be written as a sum of positive squares in only one way, i.e., 83174400 + 3326976 = 9120^2 + 1824^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 86501376.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4552695 + ... + 4552713.

Almost surely, 2^86501376 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 86501376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141977745).

86501376 is an abundant number, since it is smaller than the sum of its proper divisors (197454114).

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

86501376 is a wasteful number, since it uses less digits than its factorization.

86501376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 86501376 is about 9300.6115927932. The cubic root of 86501376 is about 442.2566161346.

The spelling of 86501376 in words is "eighty-six million, five hundred one thousand, three hundred seventy-six".