20755200 has 216 divisors, whose sum is σ = 72995328. Its totient is φ = 5181440.

The previous prime is 20755199. The next prime is 20755211. The reversal of 20755200 is 255702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441577 + ... + 441623.

Almost surely, 2^20755200 is an apocalyptic number.

20755200 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 20755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36497664).

20755200 is an abundant number, since it is smaller than the sum of its proper divisors (52240128).

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

20755200 is a wasteful number, since it uses less digits than its factorization.

20755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 20755200 is about 4555.7875279692. The cubic root of 20755200 is about 274.8161857030.

The spelling of 20755200 in words is "twenty million, seven hundred fifty-five thousand, two hundred".