1768000 has 112 divisors (see below), whose sum is σ = 4992624. Its totient is φ = 614400.

The previous prime is 1767979. The next prime is 1768001. The reversal of 1768000 is 8671.

1768000 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 8 ways, for example, as 652864 + 1115136 = 808^2 + 1056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768001) 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, 103992 + ... + 104008.

It is an arithmetic number, because the mean of its divisors is an integer number (44577).

2^1768000 is an apocalyptic number.

1768000 is a gapful number since it is divisible by the number (10) 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 1768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496312).

1768000 is an abundant number, since it is smaller than the sum of its proper divisors (3224624).

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

1768000 is a wasteful number, since it uses less digits than its factorization.

1768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1768000 is about 1329.6616110876. The cubic root of 1768000 is about 120.9188719203.

The spelling of 1768000 in words is "one million, seven hundred sixty-eight thousand".