20386080 has 360 divisors, whose sum is σ = 85164156. Its totient is φ = 4561920.

The previous prime is 20386063. The next prime is 20386081. The reversal of 20386080 is 8068302.

20386080 is a `hidden beast` number, since 20 + 38 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18974736 + 1411344 = 4356^2 + 1188^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-4 number, since 4×20386080⁴ (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20386081) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1568154 + ... + 1568166.

Almost surely, 2^20386080 is an apocalyptic number.

20386080 is a gapful number since it is divisible by the number (20) 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 20386080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42582078).

20386080 is an abundant number, since it is smaller than the sum of its proper divisors (64778076).

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

20386080 is a wasteful number, since it uses less digits than its factorization.

20386080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20386080 is about 4515.0946833926. The cubic root of 20386080 is about 273.1772788895.

It can be divided in two parts, 2038 and 6080, that added together give a palindrome (8118).

The spelling of 20386080 in words is "twenty million, three hundred eighty-six thousand, eighty".