91700400 has 120 divisors (see below), whose sum is σ = 320497344. Its totient is φ = 22227200.

The previous prime is 91700369. The next prime is 91700417. The reversal of 91700400 is 400719.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9727 + ... + 16673.

Almost surely, 2^91700400 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 91700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160248672).

91700400 is an abundant number, since it is smaller than the sum of its proper divisors (228796944).

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

91700400 is a wasteful number, since it uses less digits than its factorization.

91700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6979 (or 6968 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 91700400 is about 9576.0325813982. The cubic root of 91700400 is about 450.9451738736.

The spelling of 91700400 in words is "ninety-one million, seven hundred thousand, four hundred".