20067600 has 120 divisors (see below), whose sum is σ = 73497280. Its totient is φ = 4584960.

The previous prime is 20067587. The next prime is 20067601. The reversal of 20067600 is 676002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20067601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7206 + ... + 9594.

Almost surely, 2^20067600 is an apocalyptic number.

20067600 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 20067600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36748640).

20067600 is an abundant number, since it is smaller than the sum of its proper divisors (53429680).

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

20067600 is a wasteful number, since it uses less digits than its factorization.

20067600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 20067600 is about 4479.6874891001. The cubic root of 20067600 is about 271.7472421277.

The spelling of 20067600 in words is "twenty million, sixty-seven thousand, six hundred".