20402960 has 80 divisors (see below), whose sum is σ = 51663360. Its totient is φ = 7464960.

The previous prime is 20402959. The next prime is 20402971. The reversal of 20402960 is 6920402.

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

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, 46904 + ... + 47336.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 2^20402960 is an apocalyptic number.

20402960 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 20402960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25831680).

20402960 is an abundant number, since it is smaller than the sum of its proper divisors (31260400).

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

20402960 is a wasteful number, since it uses less digits than its factorization.

20402960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 20402960 is about 4516.9635818767. The cubic root of 20402960 is about 273.2526564727.

The spelling of 20402960 in words is "twenty million, four hundred two thousand, nine hundred sixty".