86920224 has 96 divisors (see below), whose sum is σ = 235710720. Its totient is φ = 28035072.

The previous prime is 86920213. The next prime is 86920261. The reversal of 86920224 is 42202968.

It is a tau number, because it is divible by the number of its divisors (96).

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, 553554 + ... + 553710.

It is an arithmetic number, because the mean of its divisors is an integer number (2455320).

Almost surely, 2^86920224 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 86920224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117855360).

86920224 is an abundant number, since it is smaller than the sum of its proper divisors (148790496).

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

86920224 is a wasteful number, since it uses less digits than its factorization.

86920224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 86920224 is about 9323.1016298226. The cubic root of 86920224 is about 442.9692834887.

The spelling of 86920224 in words is "eighty-six million, nine hundred twenty thousand, two hundred twenty-four".