91514976 has 192 divisors, whose sum is σ = 297271296. Its totient is φ = 24076800.

The previous prime is 91514957. The next prime is 91514987. The reversal of 91514976 is 67941519.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479041 + ... + 479231.

It is an arithmetic number, because the mean of its divisors is an integer number (1548288).

Almost surely, 2^91514976 is an apocalyptic number.

91514976 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 91514976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148635648).

91514976 is an abundant number, since it is smaller than the sum of its proper divisors (205756320).

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

91514976 is a wasteful number, since it uses less digits than its factorization.

91514976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its digits is 68040, while the sum is 42.

The square root of 91514976 is about 9566.3460108863. The cubic root of 91514976 is about 450.6410222366.

The spelling of 91514976 in words is "ninety-one million, five hundred fourteen thousand, nine hundred seventy-six".