1922800 has 120 divisors (see below), whose sum is σ = 5535360. Its totient is φ = 633600.

The previous prime is 1922783. The next prime is 1922803. The reversal of 1922800 is 82291.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1922803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83589 + ... + 83611.

It is an arithmetic number, because the mean of its divisors is an integer number (46128).

2^1922800 is an apocalyptic number.

1922800 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 1922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680).

1922800 is an abundant number, since it is smaller than the sum of its proper divisors (3612560).

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

1922800 is a wasteful number, since it uses less digits than its factorization.

1922800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1922800 is about 1386.6506409330. The cubic root of 1922800 is about 124.3496893017.

It can be divided in two parts, 1922 and 800, that multiplied together give a square (1537600 = 1240²).

The spelling of 1922800 in words is "one million, nine hundred twenty-two thousand, eight hundred".