86507520 has 160 divisors (see below), whose sum is σ = 301989600. Its totient is φ = 20971520.

The previous prime is 86507507. The next prime is 86507527. The reversal of 86507520 is 2570568.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86507527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7864315 + ... + 7864325.

It is an arithmetic number, because the mean of its divisors is an integer number (1887435).

Almost surely, 2^86507520 is an apocalyptic number.

86507520 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 86507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150994800).

86507520 is an abundant number, since it is smaller than the sum of its proper divisors (215482080).

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

86507520 is an frugal number, since it uses more digits than its factorization.

86507520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 86507520 is about 9300.9418877875. The cubic root of 86507520 is about 442.2670867207.

The spelling of 86507520 in words is "eighty-six million, five hundred seven thousand, five hundred twenty".