1125938560 has 128 divisors (see below), whose sum is σ = 2868566400. Its totient is φ = 421134336.

The previous prime is 1125938501. The next prime is 1125938579. The reversal of 1125938560 is 658395211.

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 (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2600104 + ... + 2600536.

It is an arithmetic number, because the mean of its divisors is an integer number (22410675).

Almost surely, 2^1125938560 is an apocalyptic number.

1125938560 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 1125938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434283200).

1125938560 is an abundant number, since it is smaller than the sum of its proper divisors (1742627840).

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

1125938560 is a wasteful number, since it uses less digits than its factorization.

1125938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 1125938560 is about 33555.0079719853. The cubic root of 1125938560 is about 1040.3310583127.

The spelling of 1125938560 in words is "one billion, one hundred twenty-five million, nine hundred thirty-eight thousand, five hundred sixty".