86346432 has 112 divisors (see below), whose sum is σ = 256763520. Its totient is φ = 28452096.

The previous prime is 86346409. The next prime is 86346443. The reversal of 86346432 is 23464368.

It is a happy number.

86346432 is a `hidden beast` number, since 8 + 6 + 3 + 4 + 643 + 2 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184663 + ... + 185129.

Almost surely, 2^86346432 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 86346432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381760).

86346432 is an abundant number, since it is smaller than the sum of its proper divisors (170417088).

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

86346432 is a wasteful number, since it uses less digits than its factorization.

86346432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 579 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 86346432 is about 9292.2780845173. The cubic root of 86346432 is about 441.9923969673.

The spelling of 86346432 in words is "eighty-six million, three hundred forty-six thousand, four hundred thirty-two".