207396864 has 168 divisors, whose sum is σ = 626158260. Its totient is φ = 66060288.

The previous prime is 207396863. The next prime is 207396929. The reversal of 207396864 is 468693702.

It can be written as a sum of positive squares in 2 ways, for example, as 207360000 + 36864 = 14400^2 + 192^2 .

It is not an unprimeable number, because it can be changed into a prime (207396863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2138064 + ... + 2138160.

Almost surely, 2^207396864 is an apocalyptic number.

207396864 is a gapful number since it is divisible by the number (24) 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 207396864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313079130).

207396864 is an abundant number, since it is smaller than the sum of its proper divisors (418761396).

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

207396864 is an equidigital number, since it uses as much as digits as its factorization.

207396864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 207396864 is about 14401.2799431162. The cubic root of 207396864 is about 591.9259707772.

The spelling of 207396864 in words is "two hundred seven million, three hundred ninety-six thousand, eight hundred sixty-four".