20397600 has 108 divisors (see below), whose sum is σ = 71952426. Its totient is φ = 5437440.

The previous prime is 20397571. The next prime is 20397631. The reversal of 20397600 is 679302.

20397600 is a `hidden beast` number, since 20 + 39 + 7 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14107536 + 6290064 = 3756^2 + 2508^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5784 + ... + 8616.

Almost surely, 2^20397600 is an apocalyptic number.

20397600 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 20397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35976213).

20397600 is an abundant number, since it is smaller than the sum of its proper divisors (51554826).

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

20397600 is a wasteful number, since it uses less digits than its factorization.

20397600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 20397600 is about 4516.3702239741. The cubic root of 20397600 is about 273.2287259170.

The spelling of 20397600 in words is "twenty million, three hundred ninety-seven thousand, six hundred".