86155520 has 144 divisors (see below), whose sum is σ = 233997120. Its totient is φ = 30105600.

The previous prime is 86155513. The next prime is 86155543. The reversal of 86155520 is 2555168.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408215 + ... + 408425.

It is an arithmetic number, because the mean of its divisors is an integer number (1624980).

Almost surely, 2^86155520 is an apocalyptic number.

86155520 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 86155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116998560).

86155520 is an abundant number, since it is smaller than the sum of its proper divisors (147841600).

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

86155520 is a wasteful number, since it uses less digits than its factorization.

86155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 86155520 is about 9281.9997845292. Note that the first 3 decimals coincide. The cubic root of 86155520 is about 441.6664081324. Note that the first 3 decimals are identical.

86155520 divided by its sum of digits (32) gives a triangular number (2692360 = T₂₃₂₀).

The spelling of 86155520 in words is "eighty-six million, one hundred fifty-five thousand, five hundred twenty".