1159207920 has 240 divisors, whose sum is σ = 4217146752. Its totient is φ = 283668480.

The previous prime is 1159207919. The next prime is 1159207921. The reversal of 1159207920 is 297029511.

It is an interprime number because it is at equal distance from previous prime (1159207919) and next prime (1159207921).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159207921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2536332 + ... + 2536788.

Almost surely, 2^1159207920 is an apocalyptic number.

1159207920 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 1159207920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108573376).

1159207920 is an abundant number, since it is smaller than the sum of its proper divisors (3057938832).

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

1159207920 is a wasteful number, since it uses less digits than its factorization.

1159207920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1159207920 is about 34047.1426113852. The cubic root of 1159207920 is about 1050.4783670628.

The spelling of 1159207920 in words is "one billion, one hundred fifty-nine million, two hundred seven thousand, nine hundred twenty".