506614644 has 36 divisors (see below), whose sum is σ = 1282288644. Its totient is φ = 168650112.

The previous prime is 506614631. The next prime is 506614663. The reversal of 506614644 is 446416605.

506614644 is a `hidden beast` number, since 5 + 0 + 6 + 6 + 1 + 4 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 143712144 + 362902500 = 11988^2 + 19050^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 506614599 and 506614608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19864 + ... + 37520.

It is an arithmetic number, because the mean of its divisors is an integer number (35619129).

Almost surely, 2^506614644 is an apocalyptic number.

It is an amenable number.

506614644 is an abundant number, since it is smaller than the sum of its proper divisors (775674000).

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

506614644 is a wasteful number, since it uses less digits than its factorization.

506614644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18464 (or 18459 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 506614644 is about 22508.1017413730. The cubic root of 506614644 is about 797.1852350715.

The spelling of 506614644 in words is "five hundred six million, six hundred fourteen thousand, six hundred forty-four".