207742640 has 80 divisors (see below), whose sum is σ = 557321472. Its totient is φ = 70540032.

The previous prime is 207742627. The next prime is 207742649. The reversal of 207742640 is 46247702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 207742597 and 207742606.

It is not an unprimeable number, because it can be changed into a prime (207742649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58187 + ... + 61653.

Almost surely, 2^207742640 is an apocalyptic number.

207742640 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 207742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278660736).

207742640 is an abundant number, since it is smaller than the sum of its proper divisors (349578832).

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

207742640 is a wasteful number, since it uses less digits than its factorization.

207742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 207742640 is about 14413.2799875670. The cubic root of 207742640 is about 592.2547448811.

The spelling of 207742640 in words is "two hundred seven million, seven hundred forty-two thousand, six hundred forty".