1667849920 has 112 divisors (see below), whose sum is σ = 4345228800. Its totient is φ = 604728320.

The previous prime is 1667849917. The next prime is 1667849921. The reversal of 1667849920 is 299487661.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1667849921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2319321 + ... + 2320039.

Almost surely, 2^1667849920 is an apocalyptic number.

1667849920 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 1667849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172614400).

1667849920 is an abundant number, since it is smaller than the sum of its proper divisors (2677378880).

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

1667849920 is a wasteful number, since it uses less digits than its factorization.

1667849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The square root of 1667849920 is about 40839.3183096878. The cubic root of 1667849920 is about 1185.9116155139.

The spelling of 1667849920 in words is "one billion, six hundred sixty-seven million, eight hundred forty-nine thousand, nine hundred twenty".