1120688640 has 240 divisors, whose sum is σ = 3922034688. Its totient is φ = 295723008.

The previous prime is 1120688587. The next prime is 1120688651. The reversal of 1120688640 is 468860211.

1120688640 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 6 + 8 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1120688595 and 1120688604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2925889 + ... + 2926271.

Almost surely, 2^1120688640 is an apocalyptic number.

1120688640 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 1120688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961017344).

1120688640 is an abundant number, since it is smaller than the sum of its proper divisors (2801346048).

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

1120688640 is a wasteful number, since it uses less digits than its factorization.

1120688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1120688640 is about 33476.6880082245. The cubic root of 1120688640 is about 1038.7116195683.

The spelling of 1120688640 in words is "one billion, one hundred twenty million, six hundred eighty-eight thousand, six hundred forty".