86573520 has 240 divisors, whose sum is σ = 336353472. Its totient is φ = 19722240.

The previous prime is 86573507. The next prime is 86573521. The reversal of 86573520 is 2537568.

86573520 is a `hidden beast` number, since 8 + 65 + 73 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (86573521) 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, 134319 + ... + 134961.

Almost surely, 2^86573520 is an apocalyptic number.

86573520 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 86573520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168176736).

86573520 is an abundant number, since it is smaller than the sum of its proper divisors (249779952).

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

86573520 is a wasteful number, since it uses less digits than its factorization.

86573520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 86573520 is about 9304.4892390716. The cubic root of 86573520 is about 442.3795324656.

The spelling of 86573520 in words is "eighty-six million, five hundred seventy-three thousand, five hundred twenty".