1125684000 has 384 divisors, whose sum is σ = 4685990400. Its totient is φ = 257126400.

The previous prime is 1125683953. The next prime is 1125684023. The reversal of 1125684000 is 4865211.

1125684000 is a `hidden beast` number, since 1 + 1 + 256 + 8 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755256 + ... + 756744.

It is an arithmetic number, because the mean of its divisors is an integer number (12203100).

Almost surely, 2^1125684000 is an apocalyptic number.

1125684000 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 1125684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342995200).

1125684000 is an abundant number, since it is smaller than the sum of its proper divisors (3560306400).

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

1125684000 is a wasteful number, since it uses less digits than its factorization.

1125684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1125684000 is about 33551.2145830818. The cubic root of 1125684000 is about 1040.2526506493.

The spelling of 1125684000 in words is "one billion, one hundred twenty-five million, six hundred eighty-four thousand".