91138824 has 192 divisors, whose sum is σ = 300960000. Its totient is φ = 25474176.

The previous prime is 91138823. The next prime is 91138843. The reversal of 91138824 is 42883119.

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.

It is not an unprimeable number, because it can be changed into a prime (91138823) 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, 836082 + ... + 836190.

It is an arithmetic number, because the mean of its divisors is an integer number (1567500).

Almost surely, 2^91138824 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 91138824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150480000).

91138824 is an abundant number, since it is smaller than the sum of its proper divisors (209821176).

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

91138824 is a wasteful number, since it uses less digits than its factorization.

91138824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 91138824 is about 9546.6655959031. The cubic root of 91138824 is about 450.0227544050.

Subtracting from 91138824 its product of digits (13824), we obtain a cube (91125000 = 450³).

The spelling of 91138824 in words is "ninety-one million, one hundred thirty-eight thousand, eight hundred twenty-four".