1153320320 has 64 divisors (see below), whose sum is σ = 2769863040. Its totient is φ = 459202560.

The previous prime is 1153320317. The next prime is 1153320331. The reversal of 1153320320 is 230233511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1153320292 and 1153320301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138680 + ... + 146760.

It is an arithmetic number, because the mean of its divisors is an integer number (43279110).

Almost surely, 2^1153320320 is an apocalyptic number.

1153320320 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 1153320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384931520).

1153320320 is an abundant number, since it is smaller than the sum of its proper divisors (1616542720).

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

1153320320 is an equidigital number, since it uses as much as digits as its factorization.

1153320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8323 (or 8311 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1153320320 is about 33960.5700776651. The cubic root of 1153320320 is about 1048.6968928904.

Adding to 1153320320 its reverse (230233511), we get a palindrome (1383553831).

The spelling of 1153320320 in words is "one billion, one hundred fifty-three million, three hundred twenty thousand, three hundred twenty".