1125696000 has 640 divisors, whose sum is σ = 4504211712. Its totient is φ = 245760000.

The previous prime is 1125695999. The next prime is 1125696001. The reversal of 1125696000 is 6965211.

It is an interprime number because it is at equal distance from previous prime (1125695999) and next prime (1125696001).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125696001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27455980 + ... + 27456020.

Almost surely, 2^1125696000 is an apocalyptic number.

1125696000 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 1125696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252105856).

1125696000 is an abundant number, since it is smaller than the sum of its proper divisors (3378515712).

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

1125696000 is a wasteful number, since it uses less digits than its factorization.

1125696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1125696000 is about 33551.3934136870. The cubic root of 1125696000 is about 1040.2563470649.

The spelling of 1125696000 in words is "one billion, one hundred twenty-five million, six hundred ninety-six thousand".