225602640 has 120 divisors (see below), whose sum is σ = 760451328. Its totient is φ = 59938560.

The previous prime is 225602617. The next prime is 225602647. The reversal of 225602640 is 46206522.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225602647) 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 23 ways as a sum of consecutive naturals, for example, 309957 + ... + 310683.

Almost surely, 2^225602640 is an apocalyptic number.

225602640 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 225602640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380225664).

225602640 is an abundant number, since it is smaller than the sum of its proper divisors (534848688).

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

225602640 is a wasteful number, since it uses less digits than its factorization.

225602640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 225602640 is about 15020.0745670586. The cubic root of 225602640 is about 608.7627344643.

It can be divided in two parts, 22560 and 2640, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 225602640 in words is "two hundred twenty-five million, six hundred two thousand, six hundred forty".