91814688 has 384 divisors, whose sum is σ = 348364800. Its totient is φ = 22892544.

The previous prime is 91814687. The next prime is 91814693. The reversal of 91814688 is 88641819.

91814688 is a `hidden beast` number, since 9 + 181 + 468 + 8 = 666.

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 (91814687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1953481 + ... + 1953527.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^91814688 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 91814688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

91814688 is an abundant number, since it is smaller than the sum of its proper divisors (256550112).

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

91814688 is a wasteful number, since it uses less digits than its factorization.

91814688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 91814688 is about 9581.9981214776. The cubic root of 91814688 is about 451.1324366920.

It can be divided in two parts, 918 and 14688, that multiplied together give a square (13483584 = 3672²).

The spelling of 91814688 in words is "ninety-one million, eight hundred fourteen thousand, six hundred eighty-eight".