1938000 has 160 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 460800.

The previous prime is 1937993. The next prime is 1938007. The reversal of 1938000 is 8391.

It is an interprime number because it is at equal distance from previous prime (1937993) and next prime (1938007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1938007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101991 + ... + 102009.

It is an arithmetic number, because the mean of its divisors is an integer number (43524).

2^1938000 is an apocalyptic number.

1938000 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 1938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

1938000 is an abundant number, since it is smaller than the sum of its proper divisors (5025840).

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

1938000 is a wasteful number, since it uses less digits than its factorization.

1938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1938000 is about 1392.1206844236. The cubic root of 1938000 is about 124.6764968211.

The spelling of 1938000 in words is "one million, nine hundred thirty-eight thousand".