91947792 has 80 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 29392896.

The previous prime is 91947787. The next prime is 91947809. The reversal of 91947792 is 29774919.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 119184 + ... + 119952.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2^91947792 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 91947792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

91947792 is an abundant number, since it is smaller than the sum of its proper divisors (155536368).

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

91947792 is a wasteful number, since it uses less digits than its factorization.

91947792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 874 counting only the distinct ones).

The product of its digits is 285768, while the sum is 48.

The square root of 91947792 is about 9588.9411302813. The cubic root of 91947792 is about 451.3503340658.

The spelling of 91947792 in words is "ninety-one million, nine hundred forty-seven thousand, seven hundred ninety-two".