1671626304 has 84 divisors (see below), whose sum is σ = 4809171484. Its totient is φ = 555144192.

The previous prime is 1671626279. The next prime is 1671626309. The reversal of 1671626304 is 4036261761.

It is a happy number.

1671626304 is a `hidden beast` number, since 1 + 6 + 7 + 16 + 2 + 630 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 764411904 + 907214400 = 27648^2 + 30120^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1671626309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154314 + ... + 164790.

Almost surely, 2^1671626304 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 1671626304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404585742).

1671626304 is an abundant number, since it is smaller than the sum of its proper divisors (3137545180).

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

1671626304 is a wasteful number, since it uses less digits than its factorization.

1671626304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10772 (or 10759 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1671626304 is about 40885.5268279620. The cubic root of 1671626304 is about 1186.8059969101.

The spelling of 1671626304 in words is "one billion, six hundred seventy-one million, six hundred twenty-six thousand, three hundred four".