91662912 has 336 divisors, whose sum is σ = 325233792. Its totient is φ = 24330240.

The previous prime is 91662911. The next prime is 91662913. The reversal of 91662912 is 21926619.

91662912 is a `hidden beast` number, since 9 + 16 + 629 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (91662911) and next prime (91662913).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91662911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2477358 + ... + 2477394.

Almost surely, 2^91662912 is an apocalyptic number.

91662912 is a gapful number since it is divisible by the number (92) 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 91662912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162616896).

91662912 is an abundant number, since it is smaller than the sum of its proper divisors (233570880).

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

91662912 is a wasteful number, since it uses less digits than its factorization.

91662912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 93 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 91662912 is about 9574.0749944838. The cubic root of 91662912 is about 450.8837152654.

The spelling of 91662912 in words is "ninety-one million, six hundred sixty-two thousand, nine hundred twelve".