91690560 has 336 divisors, whose sum is σ = 355031040. Its totient is φ = 21565440.

The previous prime is 91690553. The next prime is 91690579. The reversal of 91690560 is 6509619.

91690560 is a `hidden beast` number, since 9 + 1 + 6 + 90 + 560 = 666.

It is a super-2 number, since 2×91690560² = 16814317586227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1160601 + ... + 1160679.

It is an arithmetic number, because the mean of its divisors is an integer number (1056640).

Almost surely, 2^91690560 is an apocalyptic number.

91690560 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 91690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515520).

91690560 is an abundant number, since it is smaller than the sum of its proper divisors (263340480).

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

91690560 is a wasteful number, since it uses less digits than its factorization.

91690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 91690560 is about 9575.5187849014. The cubic root of 91690560 is about 450.9290435941.

The spelling of 91690560 in words is "ninety-one million, six hundred ninety thousand, five hundred sixty".