506671620 has 192 divisors, whose sum is σ = 1772015616. Its totient is φ = 105315840.

The previous prime is 506671619. The next prime is 506671631. The reversal of 506671620 is 26176605.

It is a super-3 number, since 3×506671620³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387007 + ... + 388313.

It is an arithmetic number, because the mean of its divisors is an integer number (9229248).

Almost surely, 2^506671620 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 506671620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886007808).

506671620 is an abundant number, since it is smaller than the sum of its proper divisors (1265343996).

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

506671620 is a wasteful number, since it uses less digits than its factorization.

506671620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 506671620 is about 22509.3673833806. The cubic root of 506671620 is about 797.2151188789.

The spelling of 506671620 in words is "five hundred six million, six hundred seventy-one thousand, six hundred twenty".