1009624560 has 640 divisors, whose sum is σ = 4165447680. Its totient is φ = 196804608.

The previous prime is 1009624547. The next prime is 1009624591. The reversal of 1009624560 is 654269001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19049494 + ... + 19049546.

It is an arithmetic number, because the mean of its divisors is an integer number (6508512).

Almost surely, 2^1009624560 is an apocalyptic number.

1009624560 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 1009624560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082723840).

1009624560 is an abundant number, since it is smaller than the sum of its proper divisors (3155823120).

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

1009624560 is a wasteful number, since it uses less digits than its factorization.

1009624560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1009624560 is about 31774.5898478643. The cubic root of 1009624560 is about 1003.1979488879.

The spelling of 1009624560 in words is "one billion, nine million, six hundred twenty-four thousand, five hundred sixty".