1667167216 has 80 divisors (see below), whose sum is σ = 3841004160. Its totient is φ = 691004160.

The previous prime is 1667167207. The next prime is 1667167219. The reversal of 1667167216 is 6127617661.

It is a super-2 number, since 2×1667167216² = 5558893052210381312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1667167219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185515 + ... + 194293.

It is an arithmetic number, because the mean of its divisors is an integer number (48012552).

Almost surely, 2^1667167216 is an apocalyptic number.

1667167216 is a gapful number since it is divisible by the number (16) 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 1667167216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920502080).

1667167216 is an abundant number, since it is smaller than the sum of its proper divisors (2173836944).

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

1667167216 is a wasteful number, since it uses less digits than its factorization.

1667167216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8894 (or 8888 counting only the distinct ones).

The product of its digits is 127008, while the sum is 43.

The square root of 1667167216 is about 40830.9590384551. The cubic root of 1667167216 is about 1185.7497829878.

The spelling of 1667167216 in words is "one billion, six hundred sixty-seven million, one hundred sixty-seven thousand, two hundred sixteen".