1161756000 has 384 divisors, whose sum is σ = 4377784320. Its totient is φ = 298944000.

The previous prime is 1161755993. The next prime is 1161756019. The reversal of 1161756000 is 6571611.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3347827 + ... + 3348173.

It is an arithmetic number, because the mean of its divisors is an integer number (11400480).

Almost surely, 2^1161756000 is an apocalyptic number.

1161756000 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 1161756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188892160).

1161756000 is an abundant number, since it is smaller than the sum of its proper divisors (3216028320).

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

1161756000 is a wasteful number, since it uses less digits than its factorization.

1161756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1161756000 is about 34084.5419508610. The cubic root of 1161756000 is about 1051.2474968635.

The spelling of 1161756000 in words is "one billion, one hundred sixty-one million, seven hundred fifty-six thousand".