10338000 has 80 divisors (see below), whose sum is σ = 33349056. Its totient is φ = 2755200.

The previous prime is 10337981. The next prime is 10338001. The reversal of 10338000 is 83301.

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10338001) 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, 5139 + ... + 6861.

Almost surely, 2^10338000 is an apocalyptic number.

10338000 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 10338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16674528).

10338000 is an abundant number, since it is smaller than the sum of its proper divisors (23011056).

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

10338000 is a wasteful number, since it uses less digits than its factorization.

10338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10338000 is about 3215.2760379165. The cubic root of 10338000 is about 217.8439530797.

The spelling of 10338000 in words is "ten million, three hundred thirty-eight thousand".