207140640 has 144 divisors (see below), whose sum is σ = 759108672. Its totient is φ = 47341056.

The previous prime is 207140629. The next prime is 207140653. The reversal of 207140640 is 46041702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 207140640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19117 + ... + 27923.

It is an arithmetic number, because the mean of its divisors is an integer number (5271588).

Almost surely, 2^207140640 is an apocalyptic number.

207140640 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 207140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379554336).

207140640 is an abundant number, since it is smaller than the sum of its proper divisors (551968032).

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

207140640 is a wasteful number, since it uses less digits than its factorization.

207140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8839 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 207140640 is about 14392.3813179057. The cubic root of 207140640 is about 591.6821095839.

The spelling of 207140640 in words is "two hundred seven million, one hundred forty thousand, six hundred forty".