1009157160 has 256 divisors, whose sum is σ = 3419781120. Its totient is φ = 236160000.

The previous prime is 1009157159. The next prime is 1009157189. The reversal of 1009157160 is 617519001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6683085 + ... + 6683235.

It is an arithmetic number, because the mean of its divisors is an integer number (13358520).

Almost surely, 2^1009157160 is an apocalyptic number.

1009157160 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 1009157160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

1009157160 is an abundant number, since it is smaller than the sum of its proper divisors (2410623960).

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

1009157160 is a wasteful number, since it uses less digits than its factorization.

1009157160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The square root of 1009157160 is about 31767.2340627887. The cubic root of 1009157160 is about 1003.0431167137.

The spelling of 1009157160 in words is "one billion, nine million, one hundred fifty-seven thousand, one hundred sixty".