1152014560 has 96 divisors (see below), whose sum is σ = 2906668800. Its totient is φ = 430510080.

The previous prime is 1152014483. The next prime is 1152014561. The reversal of 1152014560 is 654102511.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152014561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139836 + ... + 147844.

It is an arithmetic number, because the mean of its divisors is an integer number (30277800).

Almost surely, 2^1152014560 is an apocalyptic number.

1152014560 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 1152014560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453334400).

1152014560 is an abundant number, since it is smaller than the sum of its proper divisors (1754654240).

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

1152014560 is a wasteful number, since it uses less digits than its factorization.

1152014560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8084 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 1152014560 is about 33941.3399853335. The cubic root of 1152014560 is about 1048.3009740995.

The spelling of 1152014560 in words is "one billion, one hundred fifty-two million, fourteen thousand, five hundred sixty".