90662880 has 288 divisors, whose sum is σ = 360364032. Its totient is φ = 18754560.

The previous prime is 90662837. The next prime is 90662909. The reversal of 90662880 is 8826609.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406449 + ... + 406671.

It is an arithmetic number, because the mean of its divisors is an integer number (1251264).

Almost surely, 2^90662880 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 90662880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180182016).

90662880 is an abundant number, since it is smaller than the sum of its proper divisors (269701152).

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

90662880 is a wasteful number, since it uses less digits than its factorization.

90662880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 90662880 is about 9521.7057295424. The cubic root of 90662880 is about 449.2380191150.

The spelling of 90662880 in words is "ninety million, six hundred sixty-two thousand, eight hundred eighty".