1670379900 has 144 divisors (see below), whose sum is σ = 5547144960. Its totient is φ = 380160000.

The previous prime is 1670379883. The next prime is 1670379923. The reversal of 1670379900 is 99730761.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 525516 + ... + 528684.

It is an arithmetic number, because the mean of its divisors is an integer number (38521840).

Almost surely, 2^1670379900 is an apocalyptic number.

1670379900 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 1670379900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773572480).

1670379900 is an abundant number, since it is smaller than the sum of its proper divisors (3876765060).

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

1670379900 is a wasteful number, since it uses less digits than its factorization.

1670379900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 1670379900 is about 40870.2813790167. The cubic root of 1670379900 is about 1186.5109533862.

The spelling of 1670379900 in words is "one billion, six hundred seventy million, three hundred seventy-nine thousand, nine hundred".