1986400 has 72 divisors (see below), whose sum is σ = 5249664. Its totient is φ = 729600.

The previous prime is 1986373. The next prime is 1986401. The reversal of 1986400 is 46891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1986401) 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 11 ways as a sum of consecutive naturals, for example, 10305 + ... + 10495.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

2^1986400 is an apocalyptic number.

1986400 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 1986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832).

1986400 is an abundant number, since it is smaller than the sum of its proper divisors (3263264).

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

1986400 is a wasteful number, since it uses less digits than its factorization.

1986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1986400 is about 1409.3970341958. The cubic root of 1986400 is about 125.7058731088.

The spelling of 1986400 in words is "one million, nine hundred eighty-six thousand, four hundred".