86520735 has 96 divisors (see below), whose sum is σ = 184384512. Its totient is φ = 36633600.

The previous prime is 86520713. The next prime is 86520739. The reversal of 86520735 is 53702568.

It is not a de Polignac number, because 86520735 - 2⁵ = 86520703 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86520735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86520739) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 572910 + ... + 573060.

It is an arithmetic number, because the mean of its divisors is an integer number (1920672).

Almost surely, 2^86520735 is an apocalyptic number.

86520735 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

86520735 is an abundant number, since it is smaller than the sum of its proper divisors (97863777).

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

86520735 is a wasteful number, since it uses less digits than its factorization.

86520735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 290 counting only the distinct ones).

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

The square root of 86520735 is about 9301.6522725804. The cubic root of 86520735 is about 442.2896060037.

The spelling of 86520735 in words is "eighty-six million, five hundred twenty thousand, seven hundred thirty-five".