206797248 has 252 divisors, whose sum is σ = 731776032. Its totient is φ = 55480320.

The previous prime is 206797243. The next prime is 206797267. The reversal of 206797248 is 842797602.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206797243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479593 + ... + 480023.

Almost surely, 2^206797248 is an apocalyptic number.

206797248 is a gapful number since it is divisible by the number (28) 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 206797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365888016).

206797248 is an abundant number, since it is smaller than the sum of its proper divisors (524978784).

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

206797248 is a wasteful number, since it uses less digits than its factorization.

206797248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 206797248 is about 14380.4467246327. The cubic root of 206797248 is about 591.3549706873.

The spelling of 206797248 in words is "two hundred six million, seven hundred ninety-seven thousand, two hundred forty-eight".