225967680 has 168 divisors, whose sum is σ = 802623744. Its totient is φ = 58291200.

The previous prime is 225967669. The next prime is 225967691. The reversal of 225967680 is 86769522.

It is an interprime number because it is at equal distance from previous prime (225967669) and next prime (225967691).

It is a super-2 number, since 2×225967680² = 102122784809164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88015 + ... + 90545.

Almost surely, 2^225967680 is an apocalyptic number.

225967680 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 225967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401311872).

225967680 is an abundant number, since it is smaller than the sum of its proper divisors (576656064).

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

225967680 is a wasteful number, since it uses less digits than its factorization.

225967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 225967680 is about 15032.2213927284. The cubic root of 225967680 is about 609.0908969940.

It can be divided in two parts, 22596 and 7680, that added together give a square (30276 = 174²).

The spelling of 225967680 in words is "two hundred twenty-five million, nine hundred sixty-seven thousand, six hundred eighty".