90346880 has 64 divisors (see below), whose sum is σ = 232621200. Its totient is φ = 33355776.

The previous prime is 90346807. The next prime is 90346897. The reversal of 90346880 is 8864309.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2891 + ... + 13749.

Almost surely, 2^90346880 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 90346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116310600).

90346880 is an abundant number, since it is smaller than the sum of its proper divisors (142274320).

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

90346880 is a wasteful number, since it uses less digits than its factorization.

90346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10891 (or 10879 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 90346880 is about 9505.0975797201. The cubic root of 90346880 is about 448.7154808787.

The spelling of 90346880 in words is "ninety million, three hundred forty-six thousand, eight hundred eighty".