1124480160 has 72 divisors (see below), whose sum is σ = 3837293460. Its totient is φ = 299860992.

The previous prime is 1124480153. The next prime is 1124480207. The reversal of 1124480160 is 610844211.

It is a happy number.

1124480160 is a `hidden beast` number, since 1 + 1 + 24 + 480 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1052094096 + 72386064 = 32436^2 + 8508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389005 + ... + 391884.

Almost surely, 2^1124480160 is an apocalyptic number.

1124480160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1124480160 is an abundant number, since it is smaller than the sum of its proper divisors (2712813300).

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

1124480160 is a wasteful number, since it uses less digits than its factorization.

1124480160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780910 (or 780899 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1124480160 is about 33533.2694499060. The cubic root of 1124480160 is about 1039.8816926566.

The spelling of 1124480160 in words is "one billion, one hundred twenty-four million, four hundred eighty thousand, one hundred sixty".