13653020 has 72 divisors (see below), whose sum is σ = 31747968. Its totient is φ = 4924800.

The previous prime is 13652993. The next prime is 13653049. The reversal of 13653020 is 2035631.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13652983 and 13653001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223790 + ... + 223850.

It is an arithmetic number, because the mean of its divisors is an integer number (440944).

Almost surely, 2^13653020 is an apocalyptic number.

13653020 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 13653020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873984).

13653020 is an abundant number, since it is smaller than the sum of its proper divisors (18094948).

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

13653020 is a wasteful number, since it uses less digits than its factorization.

13653020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 13653020 is about 3694.9993234100. Note that the first 3 decimals coincide. The cubic root of 13653020 is about 239.0064247848.

Adding to 13653020 its reverse (2035631), we get a palindrome (15688651).

It can be divided in two parts, 13 and 653020, that multiplied together give a triangular number (8489260 = T₄₁₂₀).

The spelling of 13653020 in words is "thirteen million, six hundred fifty-three thousand, twenty".