1988400 has 60 divisors (see below), whose sum is σ = 6373352. Its totient is φ = 529920.

The previous prime is 1988353. The next prime is 1988411. The reversal of 1988400 is 48891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 372 + ... + 2028.

2^1988400 is an apocalyptic number.

1988400 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 1988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186676).

1988400 is an abundant number, since it is smaller than the sum of its proper divisors (4384952).

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

1988400 is a wasteful number, since it uses less digits than its factorization.

1988400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1988400 is about 1410.1063789658. The cubic root of 1988400 is about 125.7480477993.

The spelling of 1988400 in words is "one million, nine hundred eighty-eight thousand, four hundred".