506671632 has 80 divisors (see below), whose sum is σ = 1530904000. Its totient is φ = 159998976.

The previous prime is 506671631. The next prime is 506671663. The reversal of 506671632 is 236176605.

It is a super-2 number, since 2×506671632² = 513432285347086848, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (506671631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22657 + ... + 39072.

It is an arithmetic number, because the mean of its divisors is an integer number (19136300).

Almost surely, 2^506671632 is an apocalyptic number.

It is an amenable number.

506671632 is an abundant number, since it is smaller than the sum of its proper divisors (1024232368).

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

506671632 is a wasteful number, since it uses less digits than its factorization.

506671632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61765 (or 61753 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 506671632 is about 22509.3676499363. The cubic root of 506671632 is about 797.2151251726.

The spelling of 506671632 in words is "five hundred six million, six hundred seventy-one thousand, six hundred thirty-two".