1147580560 has 80 divisors (see below), whose sum is σ = 3120264576. Its totient is φ = 384297984.

The previous prime is 1147580549. The next prime is 1147580569. The reversal of 1147580560 is 650857411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1147580560² = 2633882283379827200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1147580569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 252 + ... + 47908.

Almost surely, 2^1147580560 is an apocalyptic number.

1147580560 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 1147580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560132288).

1147580560 is an abundant number, since it is smaller than the sum of its proper divisors (1972684016).

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

1147580560 is a wasteful number, since it uses less digits than its factorization.

1147580560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47720 (or 47714 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 1147580560 is about 33875.9584366258. The cubic root of 1147580560 is about 1046.9543062932.

The spelling of 1147580560 in words is "one billion, one hundred forty-seven million, five hundred eighty thousand, five hundred sixty".