91638624 has 288 divisors, whose sum is σ = 321753600. Its totient is φ = 22767360.

The previous prime is 91638611. The next prime is 91638629. The reversal of 91638624 is 42683619.

It is a super-2 number, since 2×91638624² = 16795274817226752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91638629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3984277 + ... + 3984299.

It is an arithmetic number, because the mean of its divisors is an integer number (1117200).

Almost surely, 2^91638624 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 91638624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

91638624 is an abundant number, since it is smaller than the sum of its proper divisors (230114976).

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

91638624 is a wasteful number, since it uses less digits than its factorization.

91638624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 91638624 is about 9572.8064850388. The cubic root of 91638624 is about 450.8438880666.

The spelling of 91638624 in words is "ninety-one million, six hundred thirty-eight thousand, six hundred twenty-four".