13960000 has 70 divisors (see below), whose sum is σ = 34715450. Its totient is φ = 5568000.

The previous prime is 13959977. The next prime is 13960007. The reversal of 13960000 is 6931.

It can be written as a sum of positive squares in 5 ways, for example, as 3873024 + 10086976 = 1968^2 + 3176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13960000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13960007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39826 + ... + 40174.

It is an arithmetic number, because the mean of its divisors is an integer number (495935).

Almost surely, 2^13960000 is an apocalyptic number.

13960000 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 13960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357725).

13960000 is an abundant number, since it is smaller than the sum of its proper divisors (20755450).

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

13960000 is an frugal number, since it uses more digits than its factorization.

13960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 356 counting only the distinct ones).

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

The square root of 13960000 is about 3736.3083384539. The cubic root of 13960000 is about 240.7844701044.

Adding to 13960000 its reverse (6931), we get a palindrome (13966931).

The spelling of 13960000 in words is "thirteen million, nine hundred sixty thousand".