206996640 has 96 divisors (see below), whose sum is σ = 686387520. Its totient is φ = 52291584.

The previous prime is 206996617. The next prime is 206996653. The reversal of 206996640 is 46699602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 206996592 and 206996601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2229 + ... + 20468.

It is an arithmetic number, because the mean of its divisors is an integer number (7149870).

Almost surely, 2^206996640 is an apocalyptic number.

206996640 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 206996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343193760).

206996640 is an abundant number, since it is smaller than the sum of its proper divisors (479390880).

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

206996640 is a wasteful number, since it uses less digits than its factorization.

206996640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22734 (or 22726 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 206996640 is about 14387.3778013924. The cubic root of 206996640 is about 591.5449693057.

The spelling of 206996640 in words is "two hundred six million, nine hundred ninety-six thousand, six hundred forty".