1670632704 has 324 divisors, whose sum is σ = 5539013116. Its totient is φ = 481296384.

The previous prime is 1670632643. The next prime is 1670632709. The reversal of 1670632704 is 4072360761.

1670632704 is a `hidden beast` number, since 16 + 7 + 0 + 632 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2073600 + 1668559104 = 1440^2 + 40848^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1670632709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8656032 + ... + 8656224.

Almost surely, 2^1670632704 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 1670632704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769506558).

1670632704 is an abundant number, since it is smaller than the sum of its proper divisors (3868380412).

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

1670632704 is a wasteful number, since it uses less digits than its factorization.

1670632704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1670632704 is about 40873.3740227058. The cubic root of 1670632704 is about 1186.5708079506.

The spelling of 1670632704 in words is "one billion, six hundred seventy million, six hundred thirty-two thousand, seven hundred four".