206125920 has 648 divisors, whose sum is σ = 956814768. Its totient is φ = 39536640.

The previous prime is 206125897. The next prime is 206125921. The reversal of 206125920 is 29521602.

206125920 = T₂₃₂ + T₂₃₃ + ... + T₁₀₇₆.

206125920 is a `hidden beast` number, since 20 + 612 + 5 + 9 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206125921) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15855834 + ... + 15855846.

It is an arithmetic number, because the mean of its divisors is an integer number (1476566).

Almost surely, 2^206125920 is an apocalyptic number.

206125920 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 206125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478407384).

206125920 is an abundant number, since it is smaller than the sum of its proper divisors (750688848).

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

206125920 is a wasteful number, since it uses less digits than its factorization.

206125920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 206125920 is about 14357.0860553247. The cubic root of 206125920 is about 590.7143697804.

The spelling of 206125920 in words is "two hundred six million, one hundred twenty-five thousand, nine hundred twenty".