86458900 has 72 divisors (see below), whose sum is σ = 208674144. Its totient is φ = 30825600.

The previous prime is 86458891. The next prime is 86458963. The reversal of 86458900 is 985468.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57559 + ... + 59041.

It is an arithmetic number, because the mean of its divisors is an integer number (2898252).

Almost surely, 2^86458900 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 86458900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104337072).

86458900 is an abundant number, since it is smaller than the sum of its proper divisors (122215244).

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

86458900 is a wasteful number, since it uses less digits than its factorization.

86458900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 86458900 is about 9298.3278066543. The cubic root of 86458900 is about 442.1842150988.

The spelling of 86458900 in words is "eighty-six million, four hundred fifty-eight thousand, nine hundred".