86921400 has 96 divisors (see below), whose sum is σ = 270897840. Its totient is φ = 23055360.

The previous prime is 86921389. The next prime is 86921407. The reversal of 86921400 is 412968.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86921407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189972 + ... + 190428.

Almost surely, 2^86921400 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 86921400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135448920).

86921400 is an abundant number, since it is smaller than the sum of its proper divisors (183976440).

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

86921400 is a wasteful number, since it uses less digits than its factorization.

86921400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 86921400 is about 9323.1646987490. The cubic root of 86921400 is about 442.9712812191.

The spelling of 86921400 in words is "eighty-six million, nine hundred twenty-one thousand, four hundred".