225067680 has 192 divisors, whose sum is σ = 803416320. Its totient is φ = 58825728.

The previous prime is 225067679. The next prime is 225067699. The reversal of 225067680 is 86760522.

225067680 is a `hidden beast` number, since 2 + 2 + 506 + 76 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228469 + ... + 229451.

It is an arithmetic number, because the mean of its divisors is an integer number (4184460).

Almost surely, 2^225067680 is an apocalyptic number.

225067680 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 225067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401708160).

225067680 is an abundant number, since it is smaller than the sum of its proper divisors (578348640).

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

225067680 is a wasteful number, since it uses less digits than its factorization.

225067680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 225067680 is about 15002.2558303743. The cubic root of 225067680 is about 608.2811776557.

The spelling of 225067680 in words is "two hundred twenty-five million, sixty-seven thousand, six hundred eighty".