204032640 has 512 divisors, whose sum is σ = 846028800. Its totient is φ = 40697856.

The previous prime is 204032639. The next prime is 204032663. The reversal of 204032640 is 46230402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4341097 + ... + 4341143.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 2^204032640 is an apocalyptic number.

204032640 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 204032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423014400).

204032640 is an abundant number, since it is smaller than the sum of its proper divisors (641996160).

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

204032640 is a wasteful number, since it uses less digits than its factorization.

204032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 204032640 is about 14283.9994399328. Note that the first 3 decimals coincide. The cubic root of 204032640 is about 588.7079260957.

It can be divided in two parts, 2040 and 32640, that multiplied together give a square (66585600 = 8160²).

The spelling of 204032640 in words is "two hundred four million, thirty-two thousand, six hundred forty".