86465400 has 288 divisors, whose sum is σ = 332054640. Its totient is φ = 18493440.

The previous prime is 86465387. The next prime is 86465429. The reversal of 86465400 is 456468.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499714 + ... + 499886.

Almost surely, 2^86465400 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 86465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166027320).

86465400 is an abundant number, since it is smaller than the sum of its proper divisors (245589240).

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

86465400 is a wasteful number, since it uses less digits than its factorization.

86465400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 86465400 is about 9298.6773252974. The cubic root of 86465400 is about 442.1952959914.

The spelling of 86465400 in words is "eighty-six million, four hundred sixty-five thousand, four hundred".