204160320 has 672 divisors, whose sum is σ = 931956480. Its totient is φ = 39813120.

The previous prime is 204160309. The next prime is 204160331. The reversal of 204160320 is 23061402.

It is a happy number.

204160320 is a `hidden beast` number, since 2 + 0 + 41 + 603 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (204160309) and next prime (204160331).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204160293 and 204160302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4979500 + ... + 4979540.

It is an arithmetic number, because the mean of its divisors is an integer number (1386840).

Almost surely, 2^204160320 is an apocalyptic number.

204160320 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 204160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465978240).

204160320 is an abundant number, since it is smaller than the sum of its proper divisors (727796160).

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

204160320 is a wasteful number, since it uses less digits than its factorization.

204160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 204160320 is about 14288.4680774392. The cubic root of 204160320 is about 588.8307014749.

It can be divided in two parts, 204160 and 320, that added together give a triangular number (204480 = T₆₃₉).

The spelling of 204160320 in words is "two hundred four million, one hundred sixty thousand, three hundred twenty".