20368800 has 288 divisors, whose sum is σ = 78744960. Its totient is φ = 5068800.

The previous prime is 20368793. The next prime is 20368811. The reversal of 20368800 is 886302.

20368800 = T₁₂₆₄ + T₁₂₆₅ + ... + T₁₂₈₈.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496780 + ... + 496820.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^20368800 is an apocalyptic number.

20368800 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 20368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

20368800 is an abundant number, since it is smaller than the sum of its proper divisors (58376160).

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

20368800 is a wasteful number, since it uses less digits than its factorization.

20368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20368800 is about 4513.1806965820. The cubic root of 20368800 is about 273.1000719952.

The spelling of 20368800 in words is "twenty million, three hundred sixty-eight thousand, eight hundred".