91964784 has 20 divisors (see below), whose sum is σ = 237575816. Its totient is φ = 30654912.

The previous prime is 91964783. The next prime is 91964813. The reversal of 91964784 is 48746919.

It is a super-3 number, since 3×91964784³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1915933 = 91964784 / (9 + 1 + 9 + 6 + 4 + 7 + 8 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91964783) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 957919 + ... + 958014.

Almost surely, 2^91964784 is an apocalyptic number.

It is an amenable number.

91964784 is an abundant number, since it is smaller than the sum of its proper divisors (145611032).

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

91964784 is a wasteful number, since it uses less digits than its factorization.

91964784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915944 (or 1915938 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 91964784 is about 9589.8271100161. The cubic root of 91964784 is about 451.3781356125.

It can be divided in two parts, 919 and 64784, that added together give a triangular number (65703 = T₃₆₂).

The spelling of 91964784 in words is "ninety-one million, nine hundred sixty-four thousand, seven hundred eighty-four".