91590480 has 80 divisors (see below), whose sum is σ = 315485760. Its totient is φ = 24423552.

The previous prime is 91590397. The next prime is 91590481. The reversal of 91590480 is 8409519.

91590480 is a `hidden beast` number, since 91 + 5 + 90 + 480 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91590481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19042 + ... + 23361.

It is an arithmetic number, because the mean of its divisors is an integer number (3943572).

Almost surely, 2^91590480 is an apocalyptic number.

91590480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91590480 is an abundant number, since it is smaller than the sum of its proper divisors (223895280).

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

91590480 is a wasteful number, since it uses less digits than its factorization.

91590480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42425 (or 42413 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 91590480 is about 9570.2915316097. The cubic root of 91590480 is about 450.7649212532.

Adding to 91590480 its reverse (8409519), we get a palindrome (99999999).

The spelling of 91590480 in words is "ninety-one million, five hundred ninety thousand, four hundred eighty".