13690000 has 75 divisors (see below), whose sum is σ = 34064877. Its totient is φ = 5328000.

The previous prime is 13689997. The next prime is 13690031. The reversal of 13690000 is 9631.

The square root of 13690000 is 3700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4545424 + 9144576 = 2132^2 + 3024^2 .

It is a super-2 number, since 2×13690000² = 374832200000000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13690000.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 369982 + ... + 370018.

Almost surely, 2^13690000 is an apocalyptic number.

13690000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13690000 is the 3700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13690000

13690000 is an abundant number, since it is smaller than the sum of its proper divisors (20374877).

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

13690000 is an frugal number, since it uses more digits than its factorization.

13690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The cubic root of 13690000 is about 239.2220178612. Note that the first 3 decimals are identical.

Adding to 13690000 its reverse (9631), we get a palindrome (13699631).

The spelling of 13690000 in words is "thirteen million, six hundred ninety thousand".