1009232640 has 432 divisors, whose sum is σ = 3937332672. Its totient is φ = 236814336.

The previous prime is 1009232639. The next prime is 1009232669. The reversal of 1009232640 is 462329001.

1009232640 is a `hidden beast` number, since 10 + 0 + 9 + 2 + 3 + 2 + 640 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3444334 + ... + 3444626.

It is an arithmetic number, because the mean of its divisors is an integer number (9114196).

Almost surely, 2^1009232640 is an apocalyptic number.

1009232640 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 1009232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968666336).

1009232640 is an abundant number, since it is smaller than the sum of its proper divisors (2928100032).

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

1009232640 is a wasteful number, since it uses less digits than its factorization.

1009232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1009232640 is about 31768.4220571309. The cubic root of 1009232640 is about 1003.0681236568.

The spelling of 1009232640 in words is "one billion, nine million, two hundred thirty-two thousand, six hundred forty".