1160642560 has 288 divisors, whose sum is σ = 3623864832. Its totient is φ = 346030080.

The previous prime is 1160642551. The next prime is 1160642591. The reversal of 1160642560 is 652460611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50462709 + ... + 50462731.

It is an arithmetic number, because the mean of its divisors is an integer number (12582864).

Almost surely, 2^1160642560 is an apocalyptic number.

1160642560 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 1160642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811932416).

1160642560 is an abundant number, since it is smaller than the sum of its proper divisors (2463222272).

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

1160642560 is an frugal number, since it uses more digits than its factorization.

1160642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1160642560 is about 34068.2045314983. The cubic root of 1160642560 is about 1050.9115470448.

The spelling of 1160642560 in words is "one billion, one hundred sixty million, six hundred forty-two thousand, five hundred sixty".