91414656 has 96 divisors (see below), whose sum is σ = 272890800. Its totient is φ = 30461184.

The previous prime is 91414651. The next prime is 91414711. The reversal of 91414656 is 65641419.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 91414656.

It is not an unprimeable number, because it can be changed into a prime (91414651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29635 + ... + 32573.

Almost surely, 2^91414656 is an apocalyptic number.

91414656 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 91414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136445400).

91414656 is an abundant number, since it is smaller than the sum of its proper divisors (181476144).

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

91414656 is an equidigital number, since it uses as much as digits as its factorization.

91414656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2944 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 91414656 is about 9561.1011918084. The cubic root of 91414656 is about 450.4762956942.

The spelling of 91414656 in words is "ninety-one million, four hundred fourteen thousand, six hundred fifty-six".