13698000 has 120 divisors (see below), whose sum is σ = 47905416. Its totient is φ = 3648000.

The previous prime is 13697989. The next prime is 13698011. The reversal of 13698000 is 89631.

It is an interprime number because it is at equal distance from previous prime (13697989) and next prime (13698011).

It can be written as a sum of positive squares in 4 ways, for example, as 4112784 + 9585216 = 2028^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17620 + ... + 18380.

Almost surely, 2^13698000 is an apocalyptic number.

13698000 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 13698000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23952708).

13698000 is an abundant number, since it is smaller than the sum of its proper divisors (34207416).

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

13698000 is a wasteful number, since it uses less digits than its factorization.

13698000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13698000 is about 3701.0809231899. The cubic root of 13698000 is about 239.2686066968.

The spelling of 13698000 in words is "thirteen million, six hundred ninety-eight thousand".