86455600 has 180 divisors, whose sum is σ = 264244248. Its totient is φ = 26880000.

The previous prime is 86455573. The next prime is 86455613. The reversal of 86455600 is 655468.

It is a congruent number.

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, 215400 + ... + 215800.

Almost surely, 2^86455600 is an apocalyptic number.

86455600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86455600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132122124).

86455600 is an abundant number, since it is smaller than the sum of its proper divisors (177788648).

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

86455600 is a wasteful number, since it uses less digits than its factorization.

86455600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 86455600 is about 9298.1503536994. The cubic root of 86455600 is about 442.1785892022.

The spelling of 86455600 in words is "eighty-six million, four hundred fifty-five thousand, six hundred".