91797120 has 96 divisors (see below), whose sum is σ = 317006820. Its totient is φ = 24477696.

The previous prime is 91797109. The next prime is 91797143. The reversal of 91797120 is 2179719.

It can be written as a sum of positive squares in 2 ways, for example, as 91699776 + 97344 = 9576^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×91797120² = 16853422480588800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2209 + ... + 13728.

Almost surely, 2^91797120 is an apocalyptic number.

91797120 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 91797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158503410).

91797120 is an abundant number, since it is smaller than the sum of its proper divisors (225209700).

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

91797120 is a wasteful number, since it uses less digits than its factorization.

91797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15962 (or 15947 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 91797120 is about 9581.0813585941. The cubic root of 91797120 is about 451.1036613389.

The spelling of 91797120 in words is "ninety-one million, seven hundred ninety-seven thousand, one hundred twenty".