86522880 has 176 divisors, whose sum is σ = 285335424. Its totient is φ = 22364160.

The previous prime is 86522869. The next prime is 86522893. The reversal of 86522880 is 8822568.

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, 660415 + ... + 660545.

It is an arithmetic number, because the mean of its divisors is an integer number (1621224).

Almost surely, 2^86522880 is an apocalyptic number.

86522880 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 86522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142667712).

86522880 is an abundant number, since it is smaller than the sum of its proper divisors (198812544).

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

86522880 is a wasteful number, since it uses less digits than its factorization.

86522880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 86522880 is about 9301.7675739614. The cubic root of 86522880 is about 442.2932610172.

The spelling of 86522880 in words is "eighty-six million, five hundred twenty-two thousand, eight hundred eighty".