91676400 has 120 divisors (see below), whose sum is σ = 295818864. Its totient is φ = 24268800.

The previous prime is 91676399. The next prime is 91676411. The reversal of 91676400 is 467619.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289042 + ... + 289358.

Almost surely, 2^91676400 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 91676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147909432).

91676400 is an abundant number, since it is smaller than the sum of its proper divisors (204142464).

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

91676400 is a wasteful number, since it uses less digits than its factorization.

91676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 91676400 is about 9574.7793708263. The cubic root of 91676400 is about 450.9058297032.

The spelling of 91676400 in words is "ninety-one million, six hundred seventy-six thousand, four hundred".