91464480 has 144 divisors (see below), whose sum is σ = 328648320. Its totient is φ = 23099904.

The previous prime is 91464479. The next prime is 91464487. The reversal of 91464480 is 8446419.

It is a happy number.

91464480 is a `hidden beast` number, since 9 + 1 + 4 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×91464480² = 16731502203340800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (91464487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25689 + ... + 29031.

It is an arithmetic number, because the mean of its divisors is an integer number (2282280).

Almost surely, 2^91464480 is an apocalyptic number.

91464480 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 91464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164324160).

91464480 is an abundant number, since it is smaller than the sum of its proper divisors (237183840).

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

91464480 is a wasteful number, since it uses less digits than its factorization.

91464480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 91464480 is about 9563.7063944895. The cubic root of 91464480 is about 450.5581223053.

The spelling of 91464480 in words is "ninety-one million, four hundred sixty-four thousand, four hundred eighty".