90893880 has 256 divisors, whose sum is σ = 378086400. Its totient is φ = 18869760.

The previous prime is 90893879. The next prime is 90893899. The reversal of 90893880 is 8839809.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82614 + ... + 83706.

It is an arithmetic number, because the mean of its divisors is an integer number (1476900).

Almost surely, 2^90893880 is an apocalyptic number.

90893880 is a gapful number since it is divisible by the number (90) 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 90893880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189043200).

90893880 is an abundant number, since it is smaller than the sum of its proper divisors (287192520).

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

90893880 is a wasteful number, since it uses less digits than its factorization.

90893880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 90893880 is about 9533.8281922846. The cubic root of 90893880 is about 449.6192334616.

The spelling of 90893880 in words is "ninety million, eight hundred ninety-three thousand, eight hundred eighty".