1801968 has 80 divisors (see below), whose sum is σ = 5523456. Its totient is φ = 495360.

The previous prime is 1801967. The next prime is 1801997. The reversal of 1801968 is 8691081.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801967) 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, 10330 + ... + 10502.

2^1801968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1801968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761728).

1801968 is an abundant number, since it is smaller than the sum of its proper divisors (3721488).

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

1801968 is a wasteful number, since it uses less digits than its factorization.

1801968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 1801968 is about 1342.3740164351. The cubic root of 1801968 is about 121.6883562591.

The spelling of 1801968 in words is "one million, eight hundred one thousand, nine hundred sixty-eight".