1265600 has 84 divisors (see below), whose sum is σ = 3590544. Its totient is φ = 430080.

The previous prime is 1265597. The next prime is 1265603. The reversal of 1265600 is 65621.

It is an interprime number because it is at equal distance from previous prime (1265597) and next prime (1265603).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1265603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11144 + ... + 11256.

2^1265600 is an apocalyptic number.

1265600 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 1265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795272).

1265600 is an abundant number, since it is smaller than the sum of its proper divisors (2324944).

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

1265600 is a wasteful number, since it uses less digits than its factorization.

1265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1265600 is about 1124.9888888340. The cubic root of 1265600 is about 108.1680055464.

It can be divided in two parts, 126 and 5600, that multiplied together give a square (705600 = 840²).

The spelling of 1265600 in words is "one million, two hundred sixty-five thousand, six hundred".