1147580160 has 288 divisors, whose sum is σ = 3875522112. Its totient is φ = 289013760.

The previous prime is 1147580111. The next prime is 1147580167. The reversal of 1147580160 is 610857411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147580167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5825182 + ... + 5825378.

It is an arithmetic number, because the mean of its divisors is an integer number (13456674).

Almost surely, 2^1147580160 is an apocalyptic number.

1147580160 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 1147580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937761056).

1147580160 is an abundant number, since it is smaller than the sum of its proper divisors (2727941952).

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

1147580160 is a wasteful number, since it uses less digits than its factorization.

1147580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1147580160 is about 33875.9525327333. The cubic root of 1147580160 is about 1046.9541846512.

The spelling of 1147580160 in words is "one billion, one hundred forty-seven million, five hundred eighty thousand, one hundred sixty".