90055680 has 352 divisors, whose sum is σ = 346647168. Its totient is φ = 19660800.

The previous prime is 90055663. The next prime is 90055699. The reversal of 90055680 is 8655009.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×90055680² = 16220051000524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196460 + ... + 2196500.

Almost surely, 2^90055680 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 90055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173323584).

90055680 is an abundant number, since it is smaller than the sum of its proper divisors (256591488).

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

90055680 is a wasteful number, since it uses less digits than its factorization.

90055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 90055680 is about 9489.7671204303. The cubic root of 90055680 is about 448.2328721285.

The spelling of 90055680 in words is "ninety million, fifty-five thousand, six hundred eighty".