45340560 has 100 divisors (see below), whose sum is σ = 157496988. Its totient is φ = 12089088.

The previous prime is 45340511. The next prime is 45340573. The reversal of 45340560 is 6504354.

It can be written as a sum of positive squares in 2 ways, for example, as 15397776 + 29942784 = 3924^2 + 5472^2 .

It is a super-2 number, since 2×45340560² = 4111532762227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2982 + ... + 9978.

Almost surely, 2^45340560 is an apocalyptic number.

45340560 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 45340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78748494).

45340560 is an abundant number, since it is smaller than the sum of its proper divisors (112156428).

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

45340560 is a wasteful number, since it uses less digits than its factorization.

45340560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45340560 is about 6733.5399308239. The cubic root of 45340560 is about 356.5843619833.

The spelling of 45340560 in words is "forty-five million, three hundred forty thousand, five hundred sixty".