86577120 has 288 divisors, whose sum is σ = 353354400. Its totient is φ = 19740672.

The previous prime is 86577089. The next prime is 86577121. The reversal of 86577120 is 2177568.

86577120 is a `hidden beast` number, since 86 + 577 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (86577121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211476 + ... + 211884.

It is an arithmetic number, because the mean of its divisors is an integer number (1226925).

Almost surely, 2^86577120 is an apocalyptic number.

86577120 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 86577120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176677200).

86577120 is an abundant number, since it is smaller than the sum of its proper divisors (266777280).

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

86577120 is a wasteful number, since it uses less digits than its factorization.

86577120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 86577120 is about 9304.6826920642. The cubic root of 86577120 is about 442.3856642259.

The spelling of 86577120 in words is "eighty-six million, five hundred seventy-seven thousand, one hundred twenty".