20876160 has 128 divisors (see below), whose sum is σ = 67858560. Its totient is φ = 5457920.

The previous prime is 20876137. The next prime is 20876171. The reversal of 20876160 is 6167802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 159295 + ... + 159425.

It is an arithmetic number, because the mean of its divisors is an integer number (530145).

Almost surely, 2^20876160 is an apocalyptic number.

20876160 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 20876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33929280).

20876160 is an abundant number, since it is smaller than the sum of its proper divisors (46982400).

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

20876160 is a wasteful number, since it uses less digits than its factorization.

20876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 20876160 is about 4569.0436636128. The cubic root of 20876160 is about 275.3490224077.

The spelling of 20876160 in words is "twenty million, eight hundred seventy-six thousand, one hundred sixty".