1152078624 has 36 divisors (see below), whose sum is σ = 3276224406. Its totient is φ = 384026112.

The previous prime is 1152078611. The next prime is 1152078659. The reversal of 1152078624 is 4268702511.

1152078624 is a `hidden beast` number, since 1 + 1 + 5 + 20 + 7 + 8 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 672468624 + 479610000 = 25932^2 + 21900^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

1152078624 is a modest number, since divided by 78624 gives 1152 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1999849 + ... + 2000424.

Almost surely, 2^1152078624 is an apocalyptic number.

It is an amenable number.

1152078624 is an abundant number, since it is smaller than the sum of its proper divisors (2124145782).

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

1152078624 is a wasteful number, since it uses less digits than its factorization.

1152078624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000289 (or 4000278 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1152078624 is about 33942.2837181001. The cubic root of 1152078624 is about 1048.3204058877.

The spelling of 1152078624 in words is "one billion, one hundred fifty-two million, seventy-eight thousand, six hundred twenty-four".