207811968 has 256 divisors, whose sum is σ = 717427200. Its totient is φ = 51757056.

The previous prime is 207811963. The next prime is 207811979. The reversal of 207811968 is 869118702.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207811963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663780 + ... + 664092.

It is an arithmetic number, because the mean of its divisors is an integer number (2802450).

Almost surely, 2^207811968 is an apocalyptic number.

207811968 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 207811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358713600).

207811968 is an abundant number, since it is smaller than the sum of its proper divisors (509615232).

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

207811968 is a wasteful number, since it uses less digits than its factorization.

207811968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 207811968 is about 14415.6847912265. The cubic root of 207811968 is about 592.3206200914.

It can be divided in two parts, 207 and 811968, that added together give a triangular number (812175 = T₁₂₇₄).

The spelling of 207811968 in words is "two hundred seven million, eight hundred eleven thousand, nine hundred sixty-eight".