13642020 has 144 divisors (see below), whose sum is σ = 49166208. Its totient is φ = 3110400.

The previous prime is 13642003. The next prime is 13642033. The reversal of 13642020 is 2024631.

It is a happy number.

13642020 is a `hidden beast` number, since 1 + 3 + 642 + 0 + 20 = 666.

It is a super-2 number, since 2×13642020² = 372209419360800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13641984 and 13642002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33820 + ... + 34220.

It is an arithmetic number, because the mean of its divisors is an integer number (341432).

Almost surely, 2^13642020 is an apocalyptic number.

13642020 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 13642020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24583104).

13642020 is an abundant number, since it is smaller than the sum of its proper divisors (35524188).

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

13642020 is a wasteful number, since it uses less digits than its factorization.

13642020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13642020 is about 3693.5105252321. The cubic root of 13642020 is about 238.9422197700.

Adding to 13642020 its reverse (2024631), we get a palindrome (15666651).

The spelling of 13642020 in words is "thirteen million, six hundred forty-two thousand, twenty".