225597640 has 64 divisors (see below), whose sum is σ = 539784000. Its totient is φ = 84614400.

The previous prime is 225597637. The next prime is 225597649. The reversal of 225597640 is 46795522.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 225597593 and 225597602.

It is not an unprimeable number, because it can be changed into a prime (225597649) 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, 75291 + ... + 78229.

It is an arithmetic number, because the mean of its divisors is an integer number (8434125).

Almost surely, 2^225597640 is an apocalyptic number.

225597640 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 225597640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269892000).

225597640 is an abundant number, since it is smaller than the sum of its proper divisors (314186360).

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

225597640 is a wasteful number, since it uses less digits than its factorization.

225597640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 225597640 is about 15019.9081222223. The cubic root of 225597640 is about 608.7582371230.

The spelling of 225597640 in words is "two hundred twenty-five million, five hundred ninety-seven thousand, six hundred forty".