206977672 has 32 divisors (see below), whose sum is σ = 426434400. Its totient is φ = 93398400.

The previous prime is 206977651. The next prime is 206977699. The reversal of 206977672 is 276779602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3772 + ... + 20692.

It is an arithmetic number, because the mean of its divisors is an integer number (13326075).

Almost surely, 2^206977672 is an apocalyptic number.

206977672 is a gapful number since it is divisible by the number (22) 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 206977672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213217200).

206977672 is an abundant number, since it is smaller than the sum of its proper divisors (219456728).

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

206977672 is a wasteful number, since it uses less digits than its factorization.

206977672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17077 (or 17073 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 46.

The square root of 206977672 is about 14386.7185973731. The cubic root of 206977672 is about 591.5269001432.

The spelling of 206977672 in words is "two hundred six million, nine hundred seventy-seven thousand, six hundred seventy-two".