505967616 has 528 divisors, whose sum is σ = 1961975808. Its totient is φ = 121651200.

The previous prime is 505967597. The next prime is 505967633. The reversal of 505967616 is 616769505.

505967616 is a `hidden beast` number, since 50 + 596 + 7 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16321521 + ... + 16321551.

Almost surely, 2^505967616 is an apocalyptic number.

505967616 is a gapful number since it is divisible by the number (56) 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 505967616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980987904).

505967616 is an abundant number, since it is smaller than the sum of its proper divisors (1456008192).

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

505967616 is a wasteful number, since it uses less digits than its factorization.

505967616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 505967616 is about 22493.7239246862. The cubic root of 505967616 is about 796.8457127691.

The spelling of 505967616 in words is "five hundred five million, nine hundred sixty-seven thousand, six hundred sixteen".