1153912320 has 480 divisors, whose sum is σ = 4538682720. Its totient is φ = 268369920.

The previous prime is 1153912307. The next prime is 1153912337. The reversal of 1153912320 is 232193511.

1153912320 is a `hidden beast` number, since 1 + 1 + 539 + 123 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7349682 + ... + 7349838.

It is an arithmetic number, because the mean of its divisors is an integer number (9455589).

Almost surely, 2^1153912320 is an apocalyptic number.

1153912320 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 1153912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269341360).

1153912320 is an abundant number, since it is smaller than the sum of its proper divisors (3384770400).

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

1153912320 is a wasteful number, since it uses less digits than its factorization.

1153912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1153912320 is about 33969.2849497896. The cubic root of 1153912320 is about 1048.8762944427.

It can be divided in two parts, 115391 and 2320, that added together give a palindrome (117711).

The spelling of 1153912320 in words is "one billion, one hundred fifty-three million, nine hundred twelve thousand, three hundred twenty".