86244900 has 108 divisors (see below), whose sum is σ = 290325168. Its totient is φ = 19709760.

The previous prime is 86244881. The next prime is 86244919. The reversal of 86244900 is 944268.

It is an interprime number because it is at equal distance from previous prime (86244881) and next prime (86244919).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11767 + ... + 17633.

It is an arithmetic number, because the mean of its divisors is an integer number (2688196).

Almost surely, 2^86244900 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 86244900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145162584).

86244900 is an abundant number, since it is smaller than the sum of its proper divisors (204080268).

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

86244900 is a wasteful number, since it uses less digits than its factorization.

86244900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 86244900 is about 9286.8132316743. The cubic root of 86244900 is about 441.8190874586.

The spelling of 86244900 in words is "eighty-six million, two hundred forty-four thousand, nine hundred".