20073600 has 288 divisors, whose sum is σ = 77690340. Its totient is φ = 4915200.

The previous prime is 20073593. The next prime is 20073601. The reversal of 20073600 is 637002.

It can be written as a sum of positive squares in 6 ways, for example, as 4769856 + 15303744 = 2184^2 + 3912^2 .

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 (18).

It is not an unprimeable number, because it can be changed into a prime (20073601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489580 + ... + 489620.

Almost surely, 2^20073600 is an apocalyptic number.

20073600 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 20073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38845170).

20073600 is an abundant number, since it is smaller than the sum of its proper divisors (57616740).

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

20073600 is a wasteful number, since it uses less digits than its factorization.

20073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 20073600 is about 4480.3571286227. The cubic root of 20073600 is about 271.7743226120.

The spelling of 20073600 in words is "twenty million, seventy-three thousand, six hundred".