3068800 has 96 divisors (see below), whose sum is σ = 8727120. Its totient is φ = 1044480.

The previous prime is 3068777. The next prime is 3068827. The reversal of 3068800 is 88603.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22332 + ... + 22468.

Almost surely, 2^3068800 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 3068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363560).

3068800 is an abundant number, since it is smaller than the sum of its proper divisors (5658320).

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

3068800 is a wasteful number, since it uses less digits than its factorization.

3068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 3068800 is about 1751.7990752367. The cubic root of 3068800 is about 145.3191543182.

The spelling of 3068800 in words is "three million, sixty-eight thousand, eight hundred".