45618560 has 64 divisors (see below), whose sum is σ = 117467280. Its totient is φ = 16840704.

The previous prime is 45618557. The next prime is 45618581. The reversal of 45618560 is 6581654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 45618560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5579 + ... + 11061.

Almost surely, 2^45618560 is an apocalyptic number.

45618560 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 45618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58733640).

45618560 is an abundant number, since it is smaller than the sum of its proper divisors (71848720).

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

45618560 is a wasteful number, since it uses less digits than its factorization.

45618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 45618560 is about 6754.1513160426. The cubic root of 45618560 is about 357.3116617633.

The spelling of 45618560 in words is "forty-five million, six hundred eighteen thousand, five hundred sixty".