91536192 has 84 divisors (see below), whose sum is σ = 286243776. Its totient is φ = 27736320.

The previous prime is 91536169. The next prime is 91536197. The reversal of 91536192 is 29163519.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91536197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888 + ... + 13559.

It is an arithmetic number, because the mean of its divisors is an integer number (3407664).

Almost surely, 2^91536192 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 91536192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143121888).

91536192 is an abundant number, since it is smaller than the sum of its proper divisors (194707584).

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

91536192 is a wasteful number, since it uses less digits than its factorization.

91536192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14476 (or 14463 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 91536192 is about 9567.4548339671. The cubic root of 91536192 is about 450.6758437184.

The spelling of 91536192 in words is "ninety-one million, five hundred thirty-six thousand, one hundred ninety-two".