86131520 has 112 divisors (see below), whose sum is σ = 221211648. Its totient is φ = 31825920.

The previous prime is 86131517. The next prime is 86131531. The reversal of 86131520 is 2513168.

86131520 = T₃₈₅ + T₃₈₆ + ... + T₈₃₀.

It is a self number, because there is not a number n which added to its sum of digits gives 86131520.

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, 386129 + ... + 386351.

It is an arithmetic number, because the mean of its divisors is an integer number (1975104).

Almost surely, 2^86131520 is an apocalyptic number.

86131520 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 86131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605824).

86131520 is an abundant number, since it is smaller than the sum of its proper divisors (135080128).

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

86131520 is a wasteful number, since it uses less digits than its factorization.

86131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 86131520 is about 9280.7068696301. The cubic root of 86131520 is about 441.6253932398.

Adding to 86131520 its reverse (2513168), we get a palindrome (88644688).

The spelling of 86131520 in words is "eighty-six million, one hundred thirty-one thousand, five hundred twenty".