91946880 has 256 divisors, whose sum is σ = 345902400. Its totient is φ = 23003136.

The previous prime is 91946861. The next prime is 91946923. The reversal of 91946880 is 8864919.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293604 + ... + 293916.

Almost surely, 2^91946880 is an apocalyptic number.

91946880 is a gapful number since it is divisible by the number (90) 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 91946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172951200).

91946880 is an abundant number, since it is smaller than the sum of its proper divisors (253955520).

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

91946880 is a wasteful number, since it uses less digits than its factorization.

91946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 91946880 is about 9588.8935753819. The cubic root of 91946880 is about 451.3488417955.

The spelling of 91946880 in words is "ninety-one million, nine hundred forty-six thousand, eight hundred eighty".