925600 has 72 divisors (see below), whose sum is σ = 2460780. Its totient is φ = 337920.

The previous prime is 925597. The next prime is 925607. The reversal of 925600 is 6529.

925600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 71824 + 853776 = 268^2 + 924^2 .

It is not an unprimeable number, because it can be changed into a prime (925607) 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, 10356 + ... + 10444.

2⁹²⁵⁶⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230390).

925600 is an abundant number, since it is smaller than the sum of its proper divisors (1535180).

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

925600 is a wasteful number, since it uses less digits than its factorization.

925600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 925600 is about 962.0810776645. The cubic root of 925600 is about 97.4558204401.

It can be divided in two parts, 9 and 25600, that multiplied together give a square (230400 = 480²).

The spelling of 925600 in words is "nine hundred twenty-five thousand, six hundred".