206034048 has 192 divisors, whose sum is σ = 658756800. Its totient is φ = 61286400.

The previous prime is 206034047. The next prime is 206034097. The reversal of 206034048 is 840430602.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (206034047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 899598 + ... + 899826.

It is an arithmetic number, because the mean of its divisors is an integer number (3431025).

Almost surely, 2^206034048 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 206034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329378400).

206034048 is an abundant number, since it is smaller than the sum of its proper divisors (452722752).

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

206034048 is a wasteful number, since it uses less digits than its factorization.

206034048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 206034048 is about 14353.8861636840. The cubic root of 206034048 is about 590.6265946711.

The spelling of 206034048 in words is "two hundred six million, thirty-four thousand, forty-eight".