91948800 has 108 divisors (see below), whose sum is σ = 303513560. Its totient is φ = 24514560.

The previous prime is 91948781. The next prime is 91948807. The reversal of 91948800 is 884919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91948807) 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 11 ways as a sum of consecutive naturals, for example, 16806 + ... + 21594.

Almost surely, 2^91948800 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 91948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151756780).

91948800 is an abundant number, since it is smaller than the sum of its proper divisors (211564760).

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

91948800 is a wasteful number, since it uses less digits than its factorization.

91948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 91948800 is about 9588.9936906852. The cubic root of 91948800 is about 451.3519834057.

The spelling of 91948800 in words is "ninety-one million, nine hundred forty-eight thousand, eight hundred".