45584640 has 144 divisors (see below), whose sum is σ = 161884800. Its totient is φ = 12146688.

The previous prime is 45584593. The next prime is 45584653. The reversal of 45584640 is 4648554.

45584640 is a `hidden beast` number, since 4 + 5 + 5 + 8 + 4 + 640 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 45584595 and 45584604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33901 + ... + 35219.

It is an arithmetic number, because the mean of its divisors is an integer number (1124200).

Almost surely, 2^45584640 is an apocalyptic number.

45584640 is a gapful number since it is divisible by the number (40) 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 45584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80942400).

45584640 is an abundant number, since it is smaller than the sum of its proper divisors (116300160).

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

45584640 is a wasteful number, since it uses less digits than its factorization.

45584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 45584640 is about 6751.6398008188. The cubic root of 45584640 is about 357.2230792742.

The spelling of 45584640 in words is "forty-five million, five hundred eighty-four thousand, six hundred forty".