1225600 has 48 divisors (see below), whose sum is σ = 3035520. Its totient is φ = 488960.

The previous prime is 1225591. The next prime is 1225603. The reversal of 1225600 is 65221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3009 + ... + 3391.

It is an arithmetic number, because the mean of its divisors is an integer number (63240).

2^1225600 is an apocalyptic number.

1225600 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 1225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517760).

1225600 is an abundant number, since it is smaller than the sum of its proper divisors (1809920).

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

1225600 is an equidigital number, since it uses as much as digits as its factorization.

1225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1225600 is about 1107.0682002478. The cubic root of 1225600 is about 107.0162143885.

The spelling of 1225600 in words is "one million, two hundred twenty-five thousand, six hundred".