1153708920 has 720 divisors, whose sum is σ = 4998117960. Its totient is φ = 237758976.

The previous prime is 1153708909. The next prime is 1153708931. The reversal of 1153708920 is 298073511.

It is an interprime number because it is at equal distance from previous prime (1153708909) and next prime (1153708931).

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

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 26830419 + ... + 26830461.

Almost surely, 2^1153708920 is an apocalyptic number.

1153708920 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 1153708920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499058980).

1153708920 is an abundant number, since it is smaller than the sum of its proper divisors (3844409040).

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

1153708920 is a wasteful number, since it uses less digits than its factorization.

1153708920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1153708920 is about 33966.2909367508. The cubic root of 1153708920 is about 1048.8146623842.

The spelling of 1153708920 in words is "one billion, one hundred fifty-three million, seven hundred eight thousand, nine hundred twenty".