86542624 has 72 divisors (see below), whose sum is σ = 200593260. Its totient is φ = 36642816.

The previous prime is 86542619. The next prime is 86542633. The reversal of 86542624 is 42624568.

It can be written as a sum of positive squares in 2 ways, for example, as 82810000 + 3732624 = 9100^2 + 1932^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151812 + ... + 152380.

Almost surely, 2^86542624 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 86542624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100296630).

86542624 is an abundant number, since it is smaller than the sum of its proper divisors (114050636).

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

86542624 is a wasteful number, since it uses less digits than its factorization.

86542624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 675 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The square root of 86542624 is about 9302.8288170857. The cubic root of 86542624 is about 442.3269013444.

The spelling of 86542624 in words is "eighty-six million, five hundred forty-two thousand, six hundred twenty-four".