1921600 has 42 divisors (see below), whose sum is σ = 4732274. Its totient is φ = 768000.

The previous prime is 1921573. The next prime is 1921631. The reversal of 1921600 is 61291.

1921600 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 1893376 = 168^2 + 1376^2 .

1921600 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1000 + ... + 2200.

2^1921600 is an apocalyptic number.

1921600 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 1921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366137).

1921600 is an abundant number, since it is smaller than the sum of its proper divisors (2810674).

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

1921600 is a wasteful number, since it uses less digits than its factorization.

1921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1921600 is about 1386.2178760931. The cubic root of 1921600 is about 124.3238154580.

Adding to 1921600 its reverse (61291), we get a palindrome (1982891).

The spelling of 1921600 in words is "one million, nine hundred twenty-one thousand, six hundred".