204272640 has 528 divisors, whose sum is σ = 858364416. Its totient is φ = 44236800.

The previous prime is 204272603. The next prime is 204272641. The reversal of 204272640 is 46272402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×204272640² = 83454622905139200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204272641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6589425 + ... + 6589455.

Almost surely, 2^204272640 is an apocalyptic number.

204272640 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 204272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429182208).

204272640 is an abundant number, since it is smaller than the sum of its proper divisors (654091776).

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

204272640 is a wasteful number, since it uses less digits than its factorization.

204272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 204272640 is about 14292.3979793455. The cubic root of 204272640 is about 588.9386645689.

The spelling of 204272640 in words is "two hundred four million, two hundred seventy-two thousand, six hundred forty".