86936976 has 225 divisors, whose sum is σ = 300826449. Its totient is φ = 24167808.

The previous prime is 86936959. The next prime is 86936977. The reversal of 86936976 is 67963968.

It is a happy number.

The square root of 86936976 is 9324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 77792400 + 9144576 = 8820^2 + 3024^2 .

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2939328) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (86936977) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2349630 + ... + 2349666.

Almost surely, 2^86936976 is an apocalyptic number.

86936976 is the 9324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86936976

86936976 is an abundant number, since it is smaller than the sum of its proper divisors (213889473).

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

86936976 is a wasteful number, since it uses less digits than its factorization.

86936976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The cubic root of 86936976 is about 442.9977392551.

The spelling of 86936976 in words is "eighty-six million, nine hundred thirty-six thousand, nine hundred seventy-six".