86909520 has 80 divisors (see below), whose sum is σ = 278732160. Its totient is φ = 22374912.

The previous prime is 86909513. The next prime is 86909531. The reversal of 86909520 is 2590968.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717 + ... + 13203.

It is an arithmetic number, because the mean of its divisors is an integer number (3484152).

Almost surely, 2^86909520 is an apocalyptic number.

86909520 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 86909520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139366080).

86909520 is an abundant number, since it is smaller than the sum of its proper divisors (191822640).

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

86909520 is a wasteful number, since it uses less digits than its factorization.

86909520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12532 (or 12526 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 86909520 is about 9322.5275542634. The cubic root of 86909520 is about 442.9510992363.

The spelling of 86909520 in words is "eighty-six million, nine hundred nine thousand, five hundred twenty".