86955264 has 216 divisors, whose sum is σ = 283151232. Its totient is φ = 25436160.

The previous prime is 86955259. The next prime is 86955269. The reversal of 86955264 is 46255968.

It is an interprime number because it is at equal distance from previous prime (86955259) and next prime (86955269).

It is a super-2 number, since 2×86955264² = 15122435874619392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86955269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1191132 + ... + 1191204.

Almost surely, 2^86955264 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 86955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141575616).

86955264 is an abundant number, since it is smaller than the sum of its proper divisors (196195968).

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

86955264 is a wasteful number, since it uses less digits than its factorization.

86955264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 86955264 is about 9324.9806434115. The cubic root of 86955264 is about 443.0287999729.

The spelling of 86955264 in words is "eighty-six million, nine hundred fifty-five thousand, two hundred sixty-four".