20730600 has 192 divisors, whose sum is σ = 78120000. Its totient is φ = 5011200.

The previous prime is 20730587. The next prime is 20730607. The reversal of 20730600 is 603702.

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 (20730607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59226 + ... + 59574.

It is an arithmetic number, because the mean of its divisors is an integer number (406875).

Almost surely, 2^20730600 is an apocalyptic number.

20730600 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 20730600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060000).

20730600 is an abundant number, since it is smaller than the sum of its proper divisors (57389400).

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

20730600 is a wasteful number, since it uses less digits than its factorization.

20730600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 370 counting only the distinct ones).

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

The square root of 20730600 is about 4553.0868649741. The cubic root of 20730600 is about 274.7075679290.

The spelling of 20730600 in words is "twenty million, seven hundred thirty thousand, six hundred".