13798620 has 192 divisors, whose sum is σ = 49351680. Its totient is φ = 3168000.

The previous prime is 13798607. The next prime is 13798621. The reversal of 13798620 is 2689731.

13798620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13798621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136570 + ... + 136670.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^13798620 is an apocalyptic number.

13798620 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 13798620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

13798620 is an abundant number, since it is smaller than the sum of its proper divisors (35553060).

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

13798620 is a wasteful number, since it uses less digits than its factorization.

13798620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13798620 is about 3714.6493778014. The cubic root of 13798620 is about 239.8530350238.

Subtracting from 13798620 its reverse (2689731), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1379 and 8620, that added together give a palindrome (9999).

The spelling of 13798620 in words is "thirteen million, seven hundred ninety-eight thousand, six hundred twenty".