512676164 has 192 divisors, whose sum is σ = 1327656960. Its totient is φ = 166510080.

The previous prime is 512676163. The next prime is 512676169. The reversal of 512676164 is 461676215.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (512676163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1749602 + ... + 1749894.

It is an arithmetic number, because the mean of its divisors is an integer number (6914880).

Almost surely, 2^512676164 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 512676164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663828480).

512676164 is an abundant number, since it is smaller than the sum of its proper divisors (814980796).

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

512676164 is a wasteful number, since it uses less digits than its factorization.

512676164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 512676164 is about 22642.3533229212. The cubic root of 512676164 is about 800.3520138351.

It can be divided in two parts, 512 and 676164, that added together give a palindrome (676676).

The spelling of 512676164 in words is "five hundred twelve million, six hundred seventy-six thousand, one hundred sixty-four".