13642350 has 48 divisors (see below), whose sum is σ = 34200192. Its totient is φ = 3598560.

The previous prime is 13642337. The next prime is 13642351. The reversal of 13642350 is 5324631.

It is a happy number.

13642350 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×13642350² = 372227427045000, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13642350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15009 + ... + 15891.

It is an arithmetic number, because the mean of its divisors is an integer number (712504).

Almost surely, 2^13642350 is an apocalyptic number.

13642350 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 13642350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100096).

13642350 is an abundant number, since it is smaller than the sum of its proper divisors (20557842).

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

13642350 is a wasteful number, since it uses less digits than its factorization.

13642350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 13642350 is about 3693.5551979089. Note that the first 3 decimals coincide. The cubic root of 13642350 is about 238.9441464225.

Adding to 13642350 its reverse (5324631), we get a palindrome (18966981).

It can be divided in two parts, 136 and 42350, that added together give a triangular number (42486 = T₂₉₁).

The spelling of 13642350 in words is "thirteen million, six hundred forty-two thousand, three hundred fifty".