160804224 has 384 divisors, whose sum is σ = 601228800. Its totient is φ = 41361408.

The previous prime is 160804199. The next prime is 160804253. The reversal of 160804224 is 422408061.

160804224 is a `hidden beast` number, since 160 + 80 + 422 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6991477 + ... + 6991499.

It is an arithmetic number, because the mean of its divisors is an integer number (1565700).

Almost surely, 2^160804224 is an apocalyptic number.

160804224 is a gapful number since it is divisible by the number (14) 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 160804224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300614400).

160804224 is an abundant number, since it is smaller than the sum of its proper divisors (440424576).

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

160804224 is a wasteful number, since it uses less digits than its factorization.

160804224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 160804224 is about 12680.8605386228. The cubic root of 160804224 is about 543.7915868312.

It can be divided in two parts, 160804 and 224, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 160804224 in words is "one hundred sixty million, eight hundred four thousand, two hundred twenty-four".