1125760032 has 120 divisors (see below), whose sum is σ = 3485235600. Its totient is φ = 355487616.

The previous prime is 1125760003. The next prime is 1125760067. The reversal of 1125760032 is 2300675211.

It is a happy number.

1125760032 is a `hidden beast` number, since 1 + 1 + 2 + 57 + 600 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1125759978 and 1125760005.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37819 + ... + 60677.

It is an arithmetic number, because the mean of its divisors is an integer number (29043630).

Almost surely, 2^1125760032 is an apocalyptic number.

1125760032 is a gapful number since it is divisible by the number (12) 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 1125760032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742617800).

1125760032 is an abundant number, since it is smaller than the sum of its proper divisors (2359475568).

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

1125760032 is a wasteful number, since it uses less digits than its factorization.

1125760032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22900 (or 22883 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1125760032 is about 33552.3476376840. The cubic root of 1125760032 is about 1040.2760706941.

It can be divided in two parts, 11257 and 60032, that added together give a square (71289 = 267²).

The spelling of 1125760032 in words is "one billion, one hundred twenty-five million, seven hundred sixty thousand, thirty-two".