1009645560 has 768 divisors, whose sum is σ = 4528742400. Its totient is φ = 195955200.

The previous prime is 1009645531. The next prime is 1009645573. The reversal of 1009645560 is 655469001.

1009645560 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 645 + 5 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14220325 + ... + 14220395.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2^1009645560 is an apocalyptic number.

1009645560 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 1009645560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1009645560 is an abundant number, since it is smaller than the sum of its proper divisors (3519096840).

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

1009645560 is a wasteful number, since it uses less digits than its factorization.

1009645560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

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

The square root of 1009645560 is about 31774.9202988772. The cubic root of 1009645560 is about 1003.2049042822.

The spelling of 1009645560 in words is "one billion, nine million, six hundred forty-five thousand, five hundred sixty".