225998960 has 120 divisors (see below), whose sum is σ = 594107808. Its totient is φ = 79833600.

The previous prime is 225998933. The next prime is 225998987. The reversal of 225998960 is 69899522.

It is a happy number.

225998960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225998933) and next prime (225998987).

It is a junction number, because it is equal to n+sod(n) for n = 225998899 and 225998908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357845 + ... + 358475.

Almost surely, 2^225998960 is an apocalyptic number.

225998960 is a gapful number since it is divisible by the number (20) 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 225998960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297053904).

225998960 is an abundant number, since it is smaller than the sum of its proper divisors (368108848).

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

225998960 is a wasteful number, since it uses less digits than its factorization.

225998960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The square root of 225998960 is about 15033.2617884476. The cubic root of 225998960 is about 609.1190005473.

The spelling of 225998960 in words is "two hundred twenty-five million, nine hundred ninety-eight thousand, nine hundred sixty".