90881700 has 144 divisors (see below), whose sum is σ = 323729280. Its totient is φ = 19169280.

The previous prime is 90881689. The next prime is 90881723. The reversal of 90881700 is 718809.

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, 25636 + ... + 28964.

It is an arithmetic number, because the mean of its divisors is an integer number (2248120).

Almost surely, 2^90881700 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 90881700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161864640).

90881700 is an abundant number, since it is smaller than the sum of its proper divisors (232847580).

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

90881700 is a wasteful number, since it uses less digits than its factorization.

90881700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 90881700 is about 9533.1893928527. The cubic root of 90881700 is about 449.5991492092.

The spelling of 90881700 in words is "ninety million, eight hundred eighty-one thousand, seven hundred".