1152889920 has 672 divisors, whose sum is σ = 5032564992. Its totient is φ = 235782144.

The previous prime is 1152889889. The next prime is 1152889957. The reversal of 1152889920 is 299882511.

1152889920 is a `hidden beast` number, since 11 + 528 + 8 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13890199 + ... + 13890281.

It is an arithmetic number, because the mean of its divisors is an integer number (7488936).

Almost surely, 2^1152889920 is an apocalyptic number.

1152889920 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 1152889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516282496).

1152889920 is an abundant number, since it is smaller than the sum of its proper divisors (3879675072).

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

1152889920 is a wasteful number, since it uses less digits than its factorization.

1152889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1152889920 is about 33954.2327258326. The cubic root of 1152889920 is about 1048.5664245684.

The spelling of 1152889920 in words is "one billion, one hundred fifty-two million, eight hundred eighty-nine thousand, nine hundred twenty".