1389200 has 60 divisors (see below), whose sum is σ = 3505728. Its totient is φ = 528000.

The previous prime is 1389191. The next prime is 1389209. The reversal of 1389200 is 29831.

1389200 = T₃₃₆ + T₃₃₇ + ... + T₃₅₈.

It is an interprime number because it is at equal distance from previous prime (1389191) and next prime (1389209).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (1389209) 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, 9125 + ... + 9275.

2^1389200 is an apocalyptic number.

1389200 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 1389200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752864).

1389200 is an abundant number, since it is smaller than the sum of its proper divisors (2116528).

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

1389200 is a wasteful number, since it uses less digits than its factorization.

1389200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1389200 is about 1178.6432878526. The cubic root of 1389200 is about 111.5804884462.

The spelling of 1389200 in words is "one million, three hundred eighty-nine thousand, two hundred".