511006640 has 80 divisors (see below), whose sum is σ = 1247920128. Its totient is φ = 194227968.

The previous prime is 511006619. The next prime is 511006687. The reversal of 511006640 is 46600115.

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

It is a super-2 number, since 2×511006640² = 522255572248179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306449 + ... + 308111.

Almost surely, 2^511006640 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 511006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623960064).

511006640 is an abundant number, since it is smaller than the sum of its proper divisors (736913488).

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

511006640 is a wasteful number, since it uses less digits than its factorization.

511006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 511006640 is about 22605.4559785907. The cubic root of 511006640 is about 799.4822900428.

Adding to 511006640 its reverse (46600115), we get a palindrome (557606755).

The spelling of 511006640 in words is "five hundred eleven million, six thousand, six hundred forty".