1160640000 has 600 divisors, whose sum is σ = 4653160512. Its totient is φ = 276480000.

The previous prime is 1160639993. The next prime is 1160640029. The reversal of 1160640000 is 460611.

It is a tau number, because it is divible by the number of its divisors (600).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 37439985 + ... + 37440015.

Almost surely, 2^1160640000 is an apocalyptic number.

1160640000 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 1160640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326580256).

1160640000 is an abundant number, since it is smaller than the sum of its proper divisors (3492520512).

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

1160640000 is an equidigital number, since it uses as much as digits as its factorization.

1160640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1160640000 is about 34068.1669597881. The cubic root of 1160640000 is about 1050.9107743879.

The spelling of 1160640000 in words is "one billion, one hundred sixty million, six hundred forty thousand".