20364960 has 384 divisors, whose sum is σ = 87091200. Its totient is φ = 3870720.

The previous prime is 20364947. The next prime is 20364977. The reversal of 20364960 is 6946302.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 702226 + ... + 702254.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^20364960 is an apocalyptic number.

20364960 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 20364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

20364960 is an abundant number, since it is smaller than the sum of its proper divisors (66726240).

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

20364960 is a wasteful number, since it uses less digits than its factorization.

20364960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 20364960 is about 4512.7552559384. The cubic root of 20364960 is about 273.0829089782.

It can be divided in two parts, 2036 and 4960, that added together give a palindrome (6996).

The spelling of 20364960 in words is "twenty million, three hundred sixty-four thousand, nine hundred sixty".