86457600 has 324 divisors, whose sum is σ = 329492800. Its totient is φ = 21565440.

The previous prime is 86457589. The next prime is 86457607. The reversal of 86457600 is 675468.

It is a happy number.

86457600 is a `hidden beast` number, since 8 + 6 + 45 + 7 + 600 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86457607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1094361 + ... + 1094439.

Almost surely, 2^86457600 is an apocalyptic number.

86457600 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 86457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164746400).

86457600 is an abundant number, since it is smaller than the sum of its proper divisors (243035200).

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

86457600 is a wasteful number, since it uses less digits than its factorization.

86457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 86457600 is about 9298.2579013490. The cubic root of 86457600 is about 442.1819988536.

The spelling of 86457600 in words is "eighty-six million, four hundred fifty-seven thousand, six hundred".