1989000 has 192 divisors, whose sum is σ = 7665840. Its totient is φ = 460800.

The previous prime is 1988999. The next prime is 1989007. The reversal of 1989000 is 9891.

1989000 = 31³ + 32³ + ... + 54³.

It can be written as a sum of positive squares in 8 ways, for example, as 34596 + 1954404 = 186^2 + 1398^2 .

It is a super-2 number, since 2×1989000² = 7912242000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1989007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116992 + ... + 117008.

2^1989000 is an apocalyptic number.

1989000 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 1989000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832920).

1989000 is an abundant number, since it is smaller than the sum of its proper divisors (5676840).

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

1989000 is a wasteful number, since it uses less digits than its factorization.

1989000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1989000 is about 1410.3191128252. The cubic root of 1989000 is about 125.7606946915.

The spelling of 1989000 in words is "one million, nine hundred eighty-nine thousand".