45619560 has 192 divisors, whose sum is σ = 173796480. Its totient is φ = 10160640.

The previous prime is 45619549. The next prime is 45619573. The reversal of 45619560 is 6591654.

45619560 is a `hidden beast` number, since 4 + 561 + 95 + 6 + 0 = 666.

It is a super-2 number, since 2×45619560² = 4162288509187200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108150 + ... + 108570.

It is an arithmetic number, because the mean of its divisors is an integer number (905190).

Almost surely, 2^45619560 is an apocalyptic number.

45619560 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 45619560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86898240).

45619560 is an abundant number, since it is smaller than the sum of its proper divisors (128176920).

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

45619560 is a wasteful number, since it uses less digits than its factorization.

45619560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 45619560 is about 6754.2253441827. The cubic root of 45619560 is about 357.3142726089.

The spelling of 45619560 in words is "forty-five million, six hundred nineteen thousand, five hundred sixty".