207135680 has 56 divisors (see below), whose sum is σ = 495970560. Its totient is φ = 82396160.

The previous prime is 207135671. The next prime is 207135683. The reversal of 207135680 is 86531702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207135683) 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 7 ways as a sum of consecutive naturals, for example, 59426 + ... + 62814.

Almost surely, 2^207135680 is an apocalyptic number.

207135680 is a gapful number since it is divisible by the number (20) 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 207135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247985280).

207135680 is an abundant number, since it is smaller than the sum of its proper divisors (288834880).

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

207135680 is a wasteful number, since it uses less digits than its factorization.

207135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 207135680 is about 14392.2090034852. The cubic root of 207135680 is about 591.6773869203.

The spelling of 207135680 in words is "two hundred seven million, one hundred thirty-five thousand, six hundred eighty".