1813968 has 160 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 497664.

The previous prime is 1813961. The next prime is 1813969. The reversal of 1813968 is 8693181.

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.

Its product of digits (10368) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95463 + ... + 95481.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2^1813968 is an apocalyptic number.

1813968 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 1813968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

1813968 is an abundant number, since it is smaller than the sum of its proper divisors (4435632).

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

1813968 is a wasteful number, since it uses less digits than its factorization.

1813968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

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

The square root of 1813968 is about 1346.8362929473. The cubic root of 1813968 is about 121.9578820841.

The spelling of 1813968 in words is "one million, eight hundred thirteen thousand, nine hundred sixty-eight".