20378880 has 216 divisors, whose sum is σ = 74135880. Its totient is φ = 5160960.

The previous prime is 20378867. The next prime is 20378933. The reversal of 20378880 is 8887302.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 20358144 = 144^2 + 4512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334050 + ... + 334110.

Almost surely, 2^20378880 is an apocalyptic number.

20378880 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 20378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37067940).

20378880 is an abundant number, since it is smaller than the sum of its proper divisors (53757000).

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

20378880 is a wasteful number, since it uses less digits than its factorization.

20378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 20378880 is about 4514.2972875078. The cubic root of 20378880 is about 273.1451146544.

The spelling of 20378880 in words is "twenty million, three hundred seventy-eight thousand, eight hundred eighty".