1867968 has 112 divisors (see below), whose sum is σ = 5852160. Its totient is φ = 582912.

The previous prime is 1867951. The next prime is 1867969. The reversal of 1867968 is 8697681.

It is a happy number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1867969) 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, 39721 + ... + 39767.

2^1867968 is an apocalyptic number.

1867968 is a gapful number since it is divisible by the number (18) 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 1867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926080).

1867968 is an abundant number, since it is smaller than the sum of its proper divisors (3984192).

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

1867968 is a wasteful number, since it uses less digits than its factorization.

1867968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1867968 is about 1366.7362583908. The cubic root of 1867968 is about 123.1562559040.

The spelling of 1867968 in words is "one million, eight hundred sixty-seven thousand, nine hundred sixty-eight".