13598000 has 80 divisors (see below), whose sum is σ = 35476896. Its totient is φ = 5011200.

The previous prime is 13597963. The next prime is 13598009. The reversal of 13598000 is 89531.

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 (26).

It is not an unprimeable number, because it can be changed into a prime (13598009) 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, 25739 + ... + 26261.

Almost surely, 2^13598000 is an apocalyptic number.

13598000 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 13598000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17738448).

13598000 is an abundant number, since it is smaller than the sum of its proper divisors (21878896).

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

13598000 is a wasteful number, since it uses less digits than its factorization.

13598000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 13598000 is about 3687.5466098749. The cubic root of 13598000 is about 238.6849369962.

The spelling of 13598000 in words is "thirteen million, five hundred ninety-eight thousand".