1125680688 has 240 divisors, whose sum is σ = 3660658560. Its totient is φ = 319334400.

The previous prime is 1125680681. The next prime is 1125680693. The reversal of 1125680688 is 8860865211.

1125680688 is a `hidden beast` number, since 1 + 1 + 2 + 568 + 0 + 6 + 88 = 666.

It is a super-2 number, since 2×1125680688² = 2534314022672306688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1125680681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3400683 + ... + 3401013.

It is an arithmetic number, because the mean of its divisors is an integer number (15252744).

Almost surely, 2^1125680688 is an apocalyptic number.

1125680688 is a gapful number since it is divisible by the number (18) 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 1125680688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830329280).

1125680688 is an abundant number, since it is smaller than the sum of its proper divisors (2534977872).

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

1125680688 is a wasteful number, since it uses less digits than its factorization.

1125680688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1125680688 is about 33551.1652256669. The cubic root of 1125680688 is about 1040.2516304340.

The spelling of 1125680688 in words is "one billion, one hundred twenty-five million, six hundred eighty thousand, six hundred eighty-eight".