1807968 has 48 divisors (see below), whose sum is σ = 4883760. Its totient is φ = 585216.

The previous prime is 1807963. The next prime is 1807969. The reversal of 1807968 is 8697081.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1807963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3298 + ... + 3806.

It is an arithmetic number, because the mean of its divisors is an integer number (101745).

2^1807968 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 1807968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441880).

1807968 is an abundant number, since it is smaller than the sum of its proper divisors (3075792).

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

1807968 is a wasteful number, since it uses less digits than its factorization.

1807968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1807968 is about 1344.6070057827. The cubic root of 1807968 is about 121.8232682486.

It can be divided in two parts, 1807 and 968, that added together give a triangular number (2775 = T₇₄).

The spelling of 1807968 in words is "one million, eight hundred seven thousand, nine hundred sixty-eight".