510660040 has 64 divisors (see below), whose sum is σ = 1265958720. Its totient is φ = 183840000.

The previous prime is 510660023. The next prime is 510660041. The reversal of 510660040 is 40066015.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 510659993 and 510660020.

It is not an unprimeable number, because it can be changed into a prime (510660041) 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, 38695 + ... + 50185.

It is an arithmetic number, because the mean of its divisors is an integer number (19780605).

Almost surely, 2^510660040 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 510660040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632979360).

510660040 is an abundant number, since it is smaller than the sum of its proper divisors (755298680).

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

510660040 is a wasteful number, since it uses less digits than its factorization.

510660040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11614 (or 11610 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 510660040 is about 22597.7883873622. The cubic root of 510660040 is about 799.3014944567.

The spelling of 510660040 in words is "five hundred ten million, six hundred sixty thousand, forty".