91924896 has 192 divisors, whose sum is σ = 293932800. Its totient is φ = 24600576.

The previous prime is 91924883. The next prime is 91924901. The reversal of 91924896 is 69842919.

It is a super-2 number, since 2×91924896² = 16900373009221632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 1032820 + ... + 1032908.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^91924896 is an apocalyptic number.

91924896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91924896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

91924896 is an abundant number, since it is smaller than the sum of its proper divisors (202007904).

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

91924896 is a wasteful number, since it uses less digits than its factorization.

91924896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 91924896 is about 9587.7471806468. The cubic root of 91924896 is about 451.3128672421.

The spelling of 91924896 in words is "ninety-one million, nine hundred twenty-four thousand, eight hundred ninety-six".