676512 has 84 divisors (see below), whose sum is σ = 2065770. Its totient is φ = 217728.

The previous prime is 676493. The next prime is 676523. The reversal of 676512 is 215676.

676512 is a `hidden beast` number, since 6 + 7 + 651 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 571536 + 104976 = 756^2 + 324^2 .

It is a super-2 number, since 2×676512² = 915336972288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 676512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23314 + ... + 23342.

676512 is a Friedman number, since it can be written as 6^6*(7+15/2), using all its digits and the basic arithmetic operations.

2⁶⁷⁶⁵¹² 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 676512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032885).

676512 is an abundant number, since it is smaller than the sum of its proper divisors (1389258).

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

676512 is an equidigital number, since it uses as much as digits as its factorization.

676512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 34 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 676512 is about 822.5034954333. The cubic root of 676512 is about 87.7859812993.

The spelling of 676512 in words is "six hundred seventy-six thousand, five hundred twelve".