1916800 has 48 divisors (see below), whose sum is σ = 4743000. Its totient is φ = 765440.

The previous prime is 1916779. The next prime is 1916809. The reversal of 1916800 is 86191.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1916809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2901 + ... + 3499.

2^1916800 is an apocalyptic number.

1916800 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 1916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371500).

1916800 is an abundant number, since it is smaller than the sum of its proper divisors (2826200).

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

1916800 is an equidigital number, since it uses as much as digits as its factorization.

1916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 1916800 is about 1384.4854639901. The cubic root of 1916800 is about 124.2202122305.

Subtracting from 1916800 its reverse (86191), we obtain a square (1830609 = 1353²).

The spelling of 1916800 in words is "one million, nine hundred sixteen thousand, eight hundred".