1038000 has 80 divisors (see below), whose sum is σ = 3365856. Its totient is φ = 275200.

The previous prime is 1037983. The next prime is 1038001. The reversal of 1038000 is 8301.

1038000 = T₁₁ + T₁₂ + ... + T₁₈₃.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1038001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5914 + ... + 6086.

2^1038000 is an apocalyptic number.

1038000 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 1038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682928).

1038000 is an abundant number, since it is smaller than the sum of its proper divisors (2327856).

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

1038000 is a wasteful number, since it uses less digits than its factorization.

1038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1038000 is about 1018.8228501560. The cubic root of 1038000 is about 101.2509525897.

The spelling of 1038000 in words is "one million, thirty-eight thousand".