1645306560 has 224 divisors, whose sum is σ = 5915436480. Its totient is φ = 430350336.

The previous prime is 1645306543. The next prime is 1645306573. The reversal of 1645306560 is 656035461.

1645306560 is a `hidden beast` number, since 1 + 6 + 4 + 530 + 65 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456124 + ... + 459716.

Almost surely, 2^1645306560 is an apocalyptic number.

1645306560 is a gapful number since it is divisible by the number (10) 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 1645306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957718240).

1645306560 is an abundant number, since it is smaller than the sum of its proper divisors (4270129920).

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

1645306560 is a wasteful number, since it uses less digits than its factorization.

1645306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1645306560 is about 40562.3786284779. The cubic root of 1645306560 is about 1180.5442667810.

The spelling of 1645306560 in words is "one billion, six hundred forty-five million, three hundred six thousand, five hundred sixty".