1125264 has 80 divisors (see below), whose sum is σ = 3535488. Its totient is φ = 301056.

The previous prime is 1125259. The next prime is 1125283. The reversal of 1125264 is 4625211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1125264.

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, 5614 + ... + 5810.

2^1125264 is an apocalyptic number.

1125264 is a gapful number since it is divisible by the number (14) 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 1125264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767744).

1125264 is an abundant number, since it is smaller than the sum of its proper divisors (2410224).

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

1125264 is a wasteful number, since it uses less digits than its factorization.

1125264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 1125264 is about 1060.7846152731. The cubic root of 1125264 is about 104.0123259553.

The spelling of 1125264 in words is "one million, one hundred twenty-five thousand, two hundred sixty-four".