1867334112 has 144 divisors (see below), whose sum is σ = 6114038112. Its totient is φ = 529551360.

The previous prime is 1867334023. The next prime is 1867334113. The reversal of 1867334112 is 2114337681.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1867334113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272812 + ... + 279572.

It is an arithmetic number, because the mean of its divisors is an integer number (42458598).

Almost surely, 2^1867334112 is an apocalyptic number.

1867334112 is a gapful number since it is divisible by the number (12) 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 1867334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057019056).

1867334112 is an abundant number, since it is smaller than the sum of its proper divisors (4246704000).

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

1867334112 is a wasteful number, since it uses less digits than its factorization.

1867334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6921 (or 6910 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1867334112 is about 43212.6614778585. The cubic root of 1867334112 is about 1231.4232345530.

The spelling of 1867334112 in words is "one billion, eight hundred sixty-seven million, three hundred thirty-four thousand, one hundred twelve".