20380880 has 40 divisors (see below), whose sum is σ = 51033192. Its totient is φ = 7524864.

The previous prime is 20380873. The next prime is 20380883. The reversal of 20380880 is 8808302.

It can be written as a sum of positive squares in 4 ways, for example, as 94864 + 20286016 = 308^2 + 4504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20380883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8759 + ... + 10838.

Almost surely, 2^20380880 is an apocalyptic number.

20380880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20380880 is an abundant number, since it is smaller than the sum of its proper divisors (30652312).

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

20380880 is a wasteful number, since it uses less digits than its factorization.

20380880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19623 (or 19617 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 20380880 is about 4514.5188004925. The cubic root of 20380880 is about 273.1540499239.

It can be divided in two parts, 20 and 380880, that multiplied together give a square (7617600 = 2760²).

The spelling of 20380880 in words is "twenty million, three hundred eighty thousand, eight hundred eighty".