86522520 has 256 divisors, whose sum is σ = 322237440. Its totient is φ = 18137088.

The previous prime is 86522483. The next prime is 86522549. The reversal of 86522520 is 2522568.

86522520 = 2248² + 2249² + ... + 2264².

It is a super-2 number, since 2×86522520² = 14972292934300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1042399 + ... + 1042481.

It is an arithmetic number, because the mean of its divisors is an integer number (1258740).

Almost surely, 2^86522520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86522520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161118720).

86522520 is an abundant number, since it is smaller than the sum of its proper divisors (235714920).

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

86522520 is a wasteful number, since it uses less digits than its factorization.

86522520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 86522520 is about 9301.7482227805. The cubic root of 86522520 is about 442.2926475926.

The spelling of 86522520 in words is "eighty-six million, five hundred twenty-two thousand, five hundred twenty".