13646820 has 192 divisors, whose sum is σ = 46448640. Its totient is φ = 2956800.

The previous prime is 13646819. The next prime is 13646827. The reversal of 13646820 is 2864631.

13646820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13646820² = 372471392224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13646827) 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, 440205 + ... + 440235.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^13646820 is an apocalyptic number.

13646820 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 13646820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

13646820 is an abundant number, since it is smaller than the sum of its proper divisors (32801820).

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

13646820 is a wasteful number, since it uses less digits than its factorization.

13646820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 13646820 is about 3694.1602564047. The cubic root of 13646820 is about 238.9702407465.

The spelling of 13646820 in words is "thirteen million, six hundred forty-six thousand, eight hundred twenty".