91798560 has 216 divisors, whose sum is σ = 364687596. Its totient is φ = 20966400.

The previous prime is 91798559. The next prime is 91798561. The reversal of 91798560 is 6589719.

It is an interprime number because it is at equal distance from previous prime (91798559) and next prime (91798561).

It can be written as a sum of positive squares in 2 ways, for example, as 74857104 + 16941456 = 8652^2 + 4116^2 .

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

It is not an unprimeable number, because it can be changed into a prime (91798561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69910 + ... + 71210.

Almost surely, 2^91798560 is an apocalyptic number.

91798560 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 91798560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182343798).

91798560 is an abundant number, since it is smaller than the sum of its proper divisors (272889036).

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

91798560 is a wasteful number, since it uses less digits than its factorization.

91798560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 91798560 is about 9581.1565063932. The cubic root of 91798560 is about 451.1060201125.

The spelling of 91798560 in words is "ninety-one million, seven hundred ninety-eight thousand, five hundred sixty".