207152768 has 32 divisors (see below), whose sum is σ = 415734660. Its totient is φ = 102811648.

The previous prime is 207152761. The next prime is 207152797. The reversal of 207152768 is 867251702.

It can be written as a sum of positive squares in 2 ways, for example, as 207129664 + 23104 = 14392^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (207152761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11630 + ... + 23442.

Almost surely, 2^207152768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207867330).

207152768 is an abundant number, since it is smaller than the sum of its proper divisors (208581892).

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

207152768 is a wasteful number, since it uses less digits than its factorization.

207152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964 (or 11952 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 207152768 is about 14392.8026457671. The cubic root of 207152768 is about 591.6936569406.

The spelling of 207152768 in words is "two hundred seven million, one hundred fifty-two thousand, seven hundred sixty-eight".