1009624140 has 72 divisors (see below), whose sum is σ = 3500034720. Its totient is φ = 230770944.

The previous prime is 1009624129. The next prime is 1009624141. The reversal of 1009624140 is 414269001.

It is not an unprimeable number, because it can be changed into a prime (1009624141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399385 + ... + 401904.

Almost surely, 2^1009624140 is an apocalyptic number.

1009624140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009624140 is an abundant number, since it is smaller than the sum of its proper divisors (2490410580).

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

1009624140 is a wasteful number, since it uses less digits than its factorization.

1009624140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801311 (or 801306 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1009624140 is about 31774.5832388090. The cubic root of 1009624140 is about 1003.1978097790.

The spelling of 1009624140 in words is "one billion, nine million, six hundred twenty-four thousand, one hundred forty".