1831968 has 36 divisors (see below), whose sum is σ = 5210478. Its totient is φ = 610560.

The previous prime is 1831967. The next prime is 1831969. The reversal of 1831968 is 8691381.

It is an interprime number because it is at equal distance from previous prime (1831967) and next prime (1831969).

It can be written as a sum of positive squares in only one way, i.e., 1710864 + 121104 = 1308^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1831968² = 6712213506048, which contains 22 as substring.

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 nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1831967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2893 + ... + 3468.

2^1831968 is an apocalyptic number.

1831968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1831968 is an abundant number, since it is smaller than the sum of its proper divisors (3378510).

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

1831968 is a wasteful number, since it uses less digits than its factorization.

1831968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6377 (or 6366 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1831968 is about 1353.5021241210. The cubic root of 1831968 is about 122.3599510139.

The spelling of 1831968 in words is "one million, eight hundred thirty-one thousand, nine hundred sixty-eight".