91924560 has 480 divisors, whose sum is σ = 402974208. Its totient is φ = 18247680.

The previous prime is 91924543. The next prime is 91924561. The reversal of 91924560 is 6542919.

91924560 is a `hidden beast` number, since 9 + 1 + 92 + 4 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91924561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1506930 + ... + 1506990.

Almost surely, 2^91924560 is an apocalyptic number.

91924560 is a gapful number since it is divisible by the number (90) 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 91924560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201487104).

91924560 is an abundant number, since it is smaller than the sum of its proper divisors (311049648).

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

91924560 is a wasteful number, since it uses less digits than its factorization.

91924560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 91924560 is about 9587.7296582663. The cubic root of 91924560 is about 451.3123173682.

The spelling of 91924560 in words is "ninety-one million, nine hundred twenty-four thousand, five hundred sixty".