206124720 has 80 divisors (see below), whose sum is σ = 643753440. Its totient is φ = 54556672.

The previous prime is 206124713. The next prime is 206124727. The reversal of 206124720 is 27421602.

It is an interprime number because it is at equal distance from previous prime (206124713) and next prime (206124727).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (206124727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29746 + ... + 36014.

It is an arithmetic number, because the mean of its divisors is an integer number (8046918).

Almost surely, 2^206124720 is an apocalyptic number.

206124720 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 206124720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321876720).

206124720 is an abundant number, since it is smaller than the sum of its proper divisors (437628720).

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

206124720 is a wasteful number, since it uses less digits than its factorization.

206124720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422 (or 6416 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 206124720 is about 14357.0442640538. The cubic root of 206124720 is about 590.7132234606.

The spelling of 206124720 in words is "two hundred six million, one hundred twenty-four thousand, seven hundred twenty".