91338624 has 256 divisors, whose sum is σ = 308448000. Its totient is φ = 26376192.

The previous prime is 91338623. The next prime is 91338629. The reversal of 91338624 is 42683319.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (31104) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91338623) 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 31 ways as a sum of consecutive naturals, for example, 853579 + ... + 853685.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^91338624 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 91338624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

91338624 is an abundant number, since it is smaller than the sum of its proper divisors (217109376).

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

91338624 is a wasteful number, since it uses less digits than its factorization.

91338624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 91338624 is about 9557.1242536654. The cubic root of 91338624 is about 450.3513700155.

The spelling of 91338624 in words is "ninety-one million, three hundred thirty-eight thousand, six hundred twenty-four".