86572400 has 30 divisors (see below), whose sum is σ = 207991152. Its totient is φ = 34628800.

The previous prime is 86572399. The next prime is 86572433. The reversal of 86572400 is 427568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107816 + ... + 108615.

Almost surely, 2^86572400 is an apocalyptic number.

86572400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86572400 is an abundant number, since it is smaller than the sum of its proper divisors (121418752).

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

86572400 is a wasteful number, since it uses less digits than its factorization.

86572400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216449 (or 216438 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 86572400 is about 9304.4290528758. The cubic root of 86572400 is about 442.3776247721.

Adding to 86572400 its reverse (427568), we get a palindrome (86999968).

The spelling of 86572400 in words is "eighty-six million, five hundred seventy-two thousand, four hundred".