506877168 has 160 divisors (see below), whose sum is σ = 1617753600. Its totient is φ = 136227840.

The previous prime is 506877157. The next prime is 506877199. The reversal of 506877168 is 861778605.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278983 + ... + 280793.

It is an arithmetic number, because the mean of its divisors is an integer number (10110960).

Almost surely, 2^506877168 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 506877168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808876800).

506877168 is an abundant number, since it is smaller than the sum of its proper divisors (1110876432).

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

506877168 is a wasteful number, since it uses less digits than its factorization.

506877168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 506877168 is about 22513.9327528533. The cubic root of 506877168 is about 797.3229098113.

The spelling of 506877168 in words is "five hundred six million, eight hundred seventy-seven thousand, one hundred sixty-eight".