20132880 has 80 divisors (see below), whose sum is σ = 62942400. Its totient is φ = 5323264.

The previous prime is 20132863. The next prime is 20132881. The reversal of 20132880 is 8823102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20132880.

It is not an unprimeable number, because it can be changed into a prime (20132881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35479 + ... + 36041.

It is an arithmetic number, because the mean of its divisors is an integer number (786780).

Almost surely, 2^20132880 is an apocalyptic number.

20132880 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 20132880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31471200).

20132880 is an abundant number, since it is smaller than the sum of its proper divisors (42809520).

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

20132880 is a wasteful number, since it uses less digits than its factorization.

20132880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 20132880 is about 4486.9677957391. The cubic root of 20132880 is about 272.0415882199.

Adding to 20132880 its reverse (8823102), we get a palindrome (28955982).

It can be divided in two parts, 20132 and 880, that added together give a palindrome (21012).

The spelling of 20132880 in words is "twenty million, one hundred thirty-two thousand, eight hundred eighty".