1125664 has 24 divisors (see below), whose sum is σ = 2294460. Its totient is φ = 542976.

The previous prime is 1125653. The next prime is 1125679. The reversal of 1125664 is 4665211.

1125664 = T₂₆₄ + T₂₆₅ + ... + T₂₉₂.

It can be written as a sum of positive squares in 2 ways, for example, as 1040400 + 85264 = 1020^2 + 292^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 322 + ... + 1534.

2^1125664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147230).

1125664 is an abundant number, since it is smaller than the sum of its proper divisors (1168796).

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

1125664 is a wasteful number, since it uses less digits than its factorization.

1125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1244 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 1125664 is about 1060.9731382085. The cubic root of 1125664 is about 104.0246489898.

It can be divided in two parts, 112 and 5664, that added together give a square (5776 = 76²).

The spelling of 1125664 in words is "one million, one hundred twenty-five thousand, six hundred sixty-four".