13498000 has 80 divisors (see below), whose sum is σ = 34645104. Its totient is φ = 5068800.

The previous prime is 13497997. The next prime is 13498013. The reversal of 13498000 is 89431.

It can be written as a sum of positive squares in 8 ways, for example, as 1774224 + 11723776 = 1332^2 + 3424^2 .

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 (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33802 + ... + 34198.

Almost surely, 2^13498000 is an apocalyptic number.

13498000 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 13498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17322552).

13498000 is an abundant number, since it is smaller than the sum of its proper divisors (21147104).

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

13498000 is a wasteful number, since it uses less digits than its factorization.

13498000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 13498000 is about 3673.9624385668. The cubic root of 13498000 is about 238.0983986882.

The spelling of 13498000 in words is "thirteen million, four hundred ninety-eight thousand".