1161956880 has 640 divisors, whose sum is σ = 4921589760. Its totient is φ = 246343680.

The previous prime is 1161956863. The next prime is 1161956893. The reversal of 1161956880 is 886591611.

1161956880 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 9 + 568 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17342607 + ... + 17342673.

It is an arithmetic number, because the mean of its divisors is an integer number (7689984).

Almost surely, 2^1161956880 is an apocalyptic number.

1161956880 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 1161956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460794880).

1161956880 is an abundant number, since it is smaller than the sum of its proper divisors (3759632880).

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

1161956880 is a wasteful number, since it uses less digits than its factorization.

1161956880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1161956880 is about 34087.4886138595. The cubic root of 1161956880 is about 1051.3080840054.

The spelling of 1161956880 in words is "one billion, one hundred sixty-one million, nine hundred fifty-six thousand, eight hundred eighty".