91364112 has 160 divisors (see below), whose sum is σ = 304226560. Its totient is φ = 26034048.

The previous prime is 91364111. The next prime is 91364131. The reversal of 91364112 is 21146319.

91364112 is a `hidden beast` number, since 9 + 1 + 3 + 641 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (91364111) by changing a digit.

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, 244758 + ... + 245130.

It is an arithmetic number, because the mean of its divisors is an integer number (1901416).

Almost surely, 2^91364112 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 91364112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152113280).

91364112 is an abundant number, since it is smaller than the sum of its proper divisors (212862448).

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

91364112 is an equidigital number, since it uses as much as digits as its factorization.

91364112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 385 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 91364112 is about 9558.4576161638. The cubic root of 91364112 is about 450.3932562322.

It can be divided in two parts, 913 and 64112, that added together give a square (65025 = 255²).

The spelling of 91364112 in words is "ninety-one million, three hundred sixty-four thousand, one hundred twelve".