13400010 has 72 divisors (see below), whose sum is σ = 37769004. Its totient is φ = 3294720.

The previous prime is 13399999. The next prime is 13400027. The reversal of 13400010 is 1000431.

It can be written as a sum of positive squares in 6 ways, for example, as 288369 + 13111641 = 537^2 + 3621^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13399965 and 13400001.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14770 + ... + 15650.

Almost surely, 2^13400010 is an apocalyptic number.

13400010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13400010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18884502).

13400010 is an abundant number, since it is smaller than the sum of its proper divisors (24368994).

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

13400010 is a wasteful number, since it uses less digits than its factorization.

13400010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13400010 is about 3660.6024094403. The cubic root of 13400010 is about 237.5208328909.

Adding to 13400010 its reverse (1000431), we get a palindrome (14400441).

The spelling of 13400010 in words is "thirteen million, four hundred thousand, ten".