206472616 has 64 divisors (see below), whose sum is σ = 475044480. Its totient is φ = 82114560.

The previous prime is 206472611. The next prime is 206472661. The reversal of 206472616 is 616274602.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (206472611) 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, 68011 + ... + 70981.

It is an arithmetic number, because the mean of its divisors is an integer number (7422570).

Almost surely, 2^206472616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206472616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237522240).

206472616 is an abundant number, since it is smaller than the sum of its proper divisors (268571864).

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

206472616 is a wasteful number, since it uses less digits than its factorization.

206472616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 206472616 is about 14369.1550203900. The cubic root of 206472616 is about 591.0453706807.

The spelling of 206472616 in words is "two hundred six million, four hundred seventy-two thousand, six hundred sixteen".