1670131200 has 480 divisors, whose sum is σ = 6040184832. Its totient is φ = 405504000.

The previous prime is 1670131189. The next prime is 1670131213. The reversal of 1670131200 is 21310761.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27379170 + ... + 27379230.

Almost surely, 2^1670131200 is an apocalyptic number.

1670131200 is a gapful number since it is divisible by the number (10) 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 1670131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020092416).

1670131200 is an abundant number, since it is smaller than the sum of its proper divisors (4370053632).

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

1670131200 is a wasteful number, since it uses less digits than its factorization.

1670131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1670131200 is about 40867.2387126901. The cubic root of 1670131200 is about 1186.4520646028.

Adding to 1670131200 its reverse (21310761), we get a palindrome (1691441961).

It can be divided in two parts, 1670 and 131200, that added together give a triangular number (132870 = T₅₁₅).

The spelling of 1670131200 in words is "one billion, six hundred seventy million, one hundred thirty-one thousand, two hundred".