1153860120 has 512 divisors, whose sum is σ = 4803840000. Its totient is φ = 240371712.

The previous prime is 1153860061. The next prime is 1153860173. The reversal of 1153860120 is 210683511.

1153860120 is a `hidden beast` number, since 1 + 1 + 5 + 38 + 601 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4165422 + ... + 4165698.

It is an arithmetic number, because the mean of its divisors is an integer number (9382500).

Almost surely, 2^1153860120 is an apocalyptic number.

1153860120 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 1153860120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401920000).

1153860120 is an abundant number, since it is smaller than the sum of its proper divisors (3649979880).

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

1153860120 is a wasteful number, since it uses less digits than its factorization.

1153860120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1153860120 is about 33968.5165999341. The cubic root of 1153860120 is about 1048.8604780566.

The spelling of 1153860120 in words is "one billion, one hundred fifty-three million, eight hundred sixty thousand, one hundred twenty".