86338032 has 80 divisors (see below), whose sum is σ = 245877120. Its totient is φ = 25888000.

The previous prime is 86338027. The next prime is 86338061. The reversal of 86338032 is 23083368.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 86337984 and 86338002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52519 + ... + 54137.

It is an arithmetic number, because the mean of its divisors is an integer number (3073464).

Almost surely, 2^86338032 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 86338032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122938560).

86338032 is an abundant number, since it is smaller than the sum of its proper divisors (159539088).

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

86338032 is a wasteful number, since it uses less digits than its factorization.

86338032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 86338032 is about 9291.8260853290. The cubic root of 86338032 is about 441.9780637885.

The spelling of 86338032 in words is "eighty-six million, three hundred thirty-eight thousand, thirty-two".