91793920 has 80 divisors (see below), whose sum is σ = 229806720. Its totient is φ = 35098624.

The previous prime is 91793899. The next prime is 91793941. The reversal of 91793920 is 2939719.

It is an interprime number because it is at equal distance from previous prime (91793899) and next prime (91793941).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×91793920² = 16852247497932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58101 + ... + 59659.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2^91793920 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 91793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

91793920 is an abundant number, since it is smaller than the sum of its proper divisors (138012800).

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

91793920 is a wasteful number, since it uses less digits than its factorization.

91793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 40.

The square root of 91793920 is about 9580.9143613749. The cubic root of 91793920 is about 451.0984195314.

The spelling of 91793920 in words is "ninety-one million, seven hundred ninety-three thousand, nine hundred twenty".