86533632 has 120 divisors (see below), whose sum is σ = 253744920. Its totient is φ = 28385280.

The previous prime is 86533631. The next prime is 86533691. The reversal of 86533632 is 23633568.

It is a happy number.

It is a super-2 number, since 2×86533632² = 14976138934222848, which contains 22 as substring.

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

Its product of digits (77760) is a multiple of the sum of its prime factors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86533631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410007 + ... + 410217.

It is an arithmetic number, because the mean of its divisors is an integer number (2114541).

Almost surely, 2^86533632 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 86533632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126872460).

86533632 is an abundant number, since it is smaller than the sum of its proper divisors (167211288).

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

86533632 is a wasteful number, since it uses less digits than its factorization.

86533632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 305 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 86533632 is about 9302.3455106763. The cubic root of 86533632 is about 442.3115811816.

The spelling of 86533632 in words is "eighty-six million, five hundred thirty-three thousand, six hundred thirty-two".