1667012160 has 336 divisors, whose sum is σ = 5915363328. Its totient is φ = 397393920.

The previous prime is 1667012107. The next prime is 1667012161. The reversal of 1667012160 is 612107661.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1667012161) 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 47 ways as a sum of consecutive naturals, for example, 13126017 + ... + 13126143.

It is an arithmetic number, because the mean of its divisors is an integer number (17605248).

Almost surely, 2^1667012160 is an apocalyptic number.

1667012160 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 1667012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957681664).

1667012160 is an abundant number, since it is smaller than the sum of its proper divisors (4248351168).

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

1667012160 is a wasteful number, since it uses less digits than its factorization.

1667012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1667012160 is about 40829.0602390013. The cubic root of 1667012160 is about 1185.7130213647.

It can be divided in two parts, 166701 and 2160, that added together give a palindrome (168861).

The spelling of 1667012160 in words is "one billion, six hundred sixty-seven million, twelve thousand, one hundred sixty".