91946624 has 128 divisors (see below), whose sum is σ = 240883200. Its totient is φ = 33868800.

The previous prime is 91946593. The next prime is 91946627. The reversal of 91946624 is 42664919.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (91946627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187019 + ... + 187509.

It is an arithmetic number, because the mean of its divisors is an integer number (1881900).

Almost surely, 2^91946624 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 91946624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120441600).

91946624 is an abundant number, since it is smaller than the sum of its proper divisors (148936576).

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

91946624 is a wasteful number, since it uses less digits than its factorization.

91946624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 91946624 is about 9588.8802265958. The cubic root of 91946624 is about 451.3484229109.

The spelling of 91946624 in words is "ninety-one million, nine hundred forty-six thousand, six hundred twenty-four".