20364768 has 72 divisors (see below), whose sum is σ = 59806656. Its totient is φ = 6566400.

The previous prime is 20364767. The next prime is 20364769. The reversal of 20364768 is 86746302.

20364768 is a `hidden beast` number, since 2 + 0 + 3 + 647 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20364767) and next prime (20364769).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20364767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7788 + ... + 10068.

It is an arithmetic number, because the mean of its divisors is an integer number (830648).

Almost surely, 2^20364768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20364768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29903328).

20364768 is an abundant number, since it is smaller than the sum of its proper divisors (39441888).

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

20364768 is a wasteful number, since it uses less digits than its factorization.

20364768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 20364768 is about 4512.7339828534. The cubic root of 20364768 is about 273.0820507707.

The spelling of 20364768 in words is "twenty million, three hundred sixty-four thousand, seven hundred sixty-eight".