1625200 has 60 divisors (see below), whose sum is σ = 4151520. Its totient is φ = 609280.

The previous prime is 1625179. The next prime is 1625201. The reversal of 1625200 is 25261.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1625201) 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, 6681 + ... + 6919.

It is an arithmetic number, because the mean of its divisors is an integer number (69192).

2^1625200 is an apocalyptic number.

1625200 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 1625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075760).

1625200 is an abundant number, since it is smaller than the sum of its proper divisors (2526320).

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

1625200 is a wasteful number, since it uses less digits than its factorization.

1625200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

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

The square root of 1625200 is about 1274.8333224387. The cubic root of 1625200 is about 117.5715574388.

The spelling of 1625200 in words is "one million, six hundred twenty-five thousand, two hundred".