91086400 has 42 divisors (see below), whose sum is σ = 224133410. Its totient is φ = 36433920.

The previous prime is 91086389. The next prime is 91086409. The reversal of 91086400 is 468019.

It can be written as a sum of positive squares in 3 ways, for example, as 760384 + 90326016 = 872^2 + 9504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91086409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26865 + ... + 30064.

Almost surely, 2^91086400 is an apocalyptic number.

It is an amenable number.

91086400 is an abundant number, since it is smaller than the sum of its proper divisors (133047010).

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

91086400 is a wasteful number, since it uses less digits than its factorization.

91086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56951 (or 56936 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 91086400 is about 9543.9195302559. The cubic root of 91086400 is about 449.9364519316.

The spelling of 91086400 in words is "ninety-one million, eighty-six thousand, four hundred".