1984900 has 36 divisors (see below), whose sum is σ = 4499712. Its totient is φ = 758560.

The previous prime is 1984897. The next prime is 1984901. The reversal of 1984900 is 94891.

1984900 = 276² + 277² + ... + 299².

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1984901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1869 + ... + 2731.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

2^1984900 is an apocalyptic number.

1984900 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 1984900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856).

1984900 is an abundant number, since it is smaller than the sum of its proper divisors (2514812).

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

1984900 is a wasteful number, since it uses less digits than its factorization.

1984900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1984900 is about 1408.8647912415. The cubic root of 1984900 is about 125.6742235096.

The spelling of 1984900 in words is "one million, nine hundred eighty-four thousand, nine hundred".