512667640 has 64 divisors (see below), whose sum is σ = 1226158560. Its totient is φ = 192245760.

The previous prime is 512667619. The next prime is 512667689. The reversal of 512667640 is 46766215.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 512667640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189739 + ... + 192421.

Almost surely, 2^512667640 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 512667640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613079280).

512667640 is an abundant number, since it is smaller than the sum of its proper divisors (713490920).

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

512667640 is a wasteful number, since it uses less digits than its factorization.

512667640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 512667640 is about 22642.1650908212. The cubic root of 512667640 is about 800.3475781316.

The spelling of 512667640 in words is "five hundred twelve million, six hundred sixty-seven thousand, six hundred forty".