1625600 has 60 divisors (see below), whose sum is σ = 4059264. Its totient is φ = 645120.

The previous prime is 1625587. The next prime is 1625629. The reversal of 1625600 is 65261.

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

It is a zygodrome in base 2.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 12737 + ... + 12863.

2^1625600 is an apocalyptic number.

1625600 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 1625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029632).

1625600 is an abundant number, since it is smaller than the sum of its proper divisors (2433664).

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

1625600 is an equidigital number, since it uses as much as digits as its factorization.

1625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

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

The square root of 1625600 is about 1274.9901960407. The cubic root of 1625600 is about 117.5812023574.

It can be divided in two parts, 16 and 25600, that multiplied together give a square (409600 = 640²).

The spelling of 1625600 in words is "one million, six hundred twenty-five thousand, six hundred".