91964916 has 48 divisors (see below), whose sum is σ = 246657600. Its totient is φ = 29596896.

The previous prime is 91964903. The next prime is 91964923. The reversal of 91964916 is 61946919.

It is a super-3 number, since 3×91964916³ (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11550 + ... + 17813.

It is an arithmetic number, because the mean of its divisors is an integer number (5138700).

Almost surely, 2^91964916 is an apocalyptic number.

It is an amenable number.

91964916 is an abundant number, since it is smaller than the sum of its proper divisors (154692684).

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

91964916 is a wasteful number, since it uses less digits than its factorization.

91964916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29405 (or 29397 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 91964916 is about 9589.8339923066. The cubic root of 91964916 is about 451.3783515715.

The spelling of 91964916 in words is "ninety-one million, nine hundred sixty-four thousand, nine hundred sixteen".