13398000 has 320 divisors, whose sum is σ = 55710720. Its totient is φ = 2688000.

The previous prime is 13397987. The next prime is 13398001. The reversal of 13398000 is 89331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13398001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461986 + ... + 462014.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

Almost surely, 2^13398000 is an apocalyptic number.

13398000 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 13398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27855360).

13398000 is an abundant number, since it is smaller than the sum of its proper divisors (42312720).

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

13398000 is a wasteful number, since it uses less digits than its factorization.

13398000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 13398000 is about 3660.3278541683. The cubic root of 13398000 is about 237.5089562643.

It can be divided in two parts, 1339 and 8000, that added together give a palindrome (9339).

The spelling of 13398000 in words is "thirteen million, three hundred ninety-eight thousand".