225792168 has 64 divisors (see below), whose sum is σ = 648048000. Its totient is φ = 64219392.

The previous prime is 225792071. The next prime is 225792169. The reversal of 225792168 is 861297522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (225792169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35538 + ... + 41406.

It is an arithmetic number, because the mean of its divisors is an integer number (10125750).

Almost surely, 2^225792168 is an apocalyptic number.

225792168 is a gapful number since it is divisible by the number (28) 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 225792168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324024000).

225792168 is an abundant number, since it is smaller than the sum of its proper divisors (422255832).

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

225792168 is a wasteful number, since it uses less digits than its factorization.

225792168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 6110 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 225792168 is about 15026.3823989675. The cubic root of 225792168 is about 608.9331599066.

It can be divided in two parts, 225792 and 168, that multiplied together give a cube (37933056 = 336³).

The spelling of 225792168 in words is "two hundred twenty-five million, seven hundred ninety-two thousand, one hundred sixty-eight".