45056640 has 128 divisors (see below), whose sum is σ = 148446720. Its totient is φ = 11612160.

The previous prime is 45056621. The next prime is 45056651. The reversal of 45056640 is 4665054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45056598 and 45056607.

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, 59142 + ... + 59898.

It is an arithmetic number, because the mean of its divisors is an integer number (1159740).

Almost surely, 2^45056640 is an apocalyptic number.

45056640 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 45056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74223360).

45056640 is an abundant number, since it is smaller than the sum of its proper divisors (103390080).

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

45056640 is a wasteful number, since it uses less digits than its factorization.

45056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 45056640 is about 6712.4243012491. The cubic root of 45056640 is about 355.8384993165.

The spelling of 45056640 in words is "forty-five million, fifty-six thousand, six hundred forty".