1925600 has 72 divisors (see below), whose sum is σ = 4921560. Its totient is φ = 734720.

The previous prime is 1925579. The next prime is 1925603. The reversal of 1925600 is 65291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1925603) 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, 23159 + ... + 23241.

It is an arithmetic number, because the mean of its divisors is an integer number (68355).

2^1925600 is an apocalyptic number.

1925600 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 1925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460780).

1925600 is an abundant number, since it is smaller than the sum of its proper divisors (2995960).

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

1925600 is a wasteful number, since it uses less digits than its factorization.

1925600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1925600 is about 1387.6599006961. The cubic root of 1925600 is about 124.4100197676.

The spelling of 1925600 in words is "one million, nine hundred twenty-five thousand, six hundred".