1808164224 has 96 divisors (see below), whose sum is σ = 5215874040. Its totient is φ = 601251840.

The previous prime is 1808164207. The next prime is 1808164273. The reversal of 1808164224 is 4224618081.

1808164224 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 1 + 642 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536304 + ... + 539664.

Almost surely, 2^1808164224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1808164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607937020).

1808164224 is an abundant number, since it is smaller than the sum of its proper divisors (3407709816).

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

1808164224 is a wasteful number, since it uses less digits than its factorization.

1808164224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1808164224 is about 42522.5143188876. The cubic root of 1808164224 is about 1218.2767536644.

The spelling of 1808164224 in words is "one billion, eight hundred eight million, one hundred sixty-four thousand, two hundred twenty-four".