86523264 has 192 divisors, whose sum is σ = 270504000. Its totient is φ = 26459136.

The previous prime is 86523259. The next prime is 86523271. The reversal of 86523264 is 46232568.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1291359 + ... + 1291425.

It is an arithmetic number, because the mean of its divisors is an integer number (1408875).

Almost surely, 2^86523264 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 86523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135252000).

86523264 is an abundant number, since it is smaller than the sum of its proper divisors (183980736).

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

86523264 is a wasteful number, since it uses less digits than its factorization.

86523264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 86523264 is about 9301.7882151767. The cubic root of 86523264 is about 442.2939153349.

The spelling of 86523264 in words is "eighty-six million, five hundred twenty-three thousand, two hundred sixty-four".