1140631680 has 128 divisors (see below), whose sum is σ = 3695745600. Its totient is φ = 299151360.

The previous prime is 1140631669. The next prime is 1140631691. The reversal of 1140631680 is 861360411.

It is an interprime number because it is at equal distance from previous prime (1140631669) and next prime (1140631691).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 112251 + ... + 121989.

Almost surely, 2^1140631680 is an apocalyptic number.

1140631680 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 1140631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847872800).

1140631680 is an abundant number, since it is smaller than the sum of its proper divisors (2555113920).

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

1140631680 is an equidigital number, since it uses as much as digits as its factorization.

1140631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9822 (or 9810 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1140631680 is about 33773.2391102778. The cubic root of 1140631680 is about 1044.8368387615.

The spelling of 1140631680 in words is "one billion, one hundred forty million, six hundred thirty-one thousand, six hundred eighty".