207885132 has 288 divisors, whose sum is σ = 704471040. Its totient is φ = 50181120.

The previous prime is 207885131. The next prime is 207885149. The reversal of 207885132 is 231588702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (207885131) 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 95 ways as a sum of consecutive naturals, for example, 2335744 + ... + 2335832.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2^207885132 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 207885132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

207885132 is an abundant number, since it is smaller than the sum of its proper divisors (496585908).

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

207885132 is a wasteful number, since it uses less digits than its factorization.

207885132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 207885132 is about 14418.2222205097. Note that the first 5 decimals coincide. The cubic root of 207885132 is about 592.3901243672.

The spelling of 207885132 in words is "two hundred seven million, eight hundred eighty-five thousand, one hundred thirty-two".