20268360 has 192 divisors, whose sum is σ = 78796800. Its totient is φ = 4620672.

The previous prime is 20268331. The next prime is 20268373. The reversal of 20268360 is 6386202.

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, 52729 + ... + 53111.

It is an arithmetic number, because the mean of its divisors is an integer number (410400).

Almost surely, 2^20268360 is an apocalyptic number.

20268360 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 20268360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39398400).

20268360 is an abundant number, since it is smaller than the sum of its proper divisors (58528440).

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

20268360 is a wasteful number, since it uses less digits than its factorization.

20268360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20268360 is about 4502.0395378095. The cubic root of 20268360 is about 272.6504401750.

The spelling of 20268360 in words is "twenty million, two hundred sixty-eight thousand, three hundred sixty".