1159605720 has 896 divisors, whose sum is σ = 5288371200. Its totient is φ = 221709312.

The previous prime is 1159605673. The next prime is 1159605757. The reversal of 1159605720 is 275069511.

1159605720 is a `hidden beast` number, since 11 + 596 + 0 + 57 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 50417629 + ... + 50417651.

It is an arithmetic number, because the mean of its divisors is an integer number (5902200).

Almost surely, 2^1159605720 is an apocalyptic number.

1159605720 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 1159605720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644185600).

1159605720 is an abundant number, since it is smaller than the sum of its proper divisors (4128765480).

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

1159605720 is a wasteful number, since it uses less digits than its factorization.

1159605720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 1159605720 is about 34052.9840102156. The cubic root of 1159605720 is about 1050.5985159149.

The spelling of 1159605720 in words is "one billion, one hundred fifty-nine million, six hundred five thousand, seven hundred twenty".