1156384320 has 672 divisors, whose sum is σ = 4825691136. Its totient is φ = 232243200.

The previous prime is 1156384301. The next prime is 1156384331. The reversal of 1156384320 is 234836511.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18957090 + ... + 18957150.

It is an arithmetic number, because the mean of its divisors is an integer number (7181088).

Almost surely, 2^1156384320 is an apocalyptic number.

1156384320 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 1156384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412845568).

1156384320 is an abundant number, since it is smaller than the sum of its proper divisors (3669306816).

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

1156384320 is a wasteful number, since it uses less digits than its factorization.

1156384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1156384320 is about 34005.6512950421. The cubic root of 1156384320 is about 1049.6247548011.

The spelling of 1156384320 in words is "one billion, one hundred fifty-six million, three hundred eighty-four thousand, three hundred twenty".