1245600 has 108 divisors (see below), whose sum is σ = 4417686. Its totient is φ = 330240.

The previous prime is 1245589. The next prime is 1245613. The reversal of 1245600 is 65421.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1140624 + 104976 = 1068^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7114 + ... + 7286.

2^1245600 is an apocalyptic number.

1245600 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 1245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208843).

1245600 is an abundant number, since it is smaller than the sum of its proper divisors (3172086).

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

1245600 is a wasteful number, since it uses less digits than its factorization.

1245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1245600 is about 1116.0645142643. The cubic root of 1245600 is about 107.5951924074.

The spelling of 1245600 in words is "one million, two hundred forty-five thousand, six hundred".