676208016 has 135 divisors (see below), whose sum is σ = 2090736193. Its totient is φ = 203871360.

The previous prime is 676207999. The next prime is 676208021. The reversal of 676208016 is 610802676.

It is a happy number.

The square root of 676208016 is 26004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 662547600 + 13660416 = 25740^2 + 3696^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3432430 + ... + 3432626.

Almost surely, 2^676208016 is an apocalyptic number.

676208016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

676208016 is the 26004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676208016

676208016 is an abundant number, since it is smaller than the sum of its proper divisors (1414528177).

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

676208016 is a wasteful number, since it uses less digits than its factorization.

676208016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 676208016 is about 877.7283074092.

Multiplying 676208016 by its sum of digits (36), we get a square (24343488576 = 156024²).

676208016 divided by its sum of digits (36) gives a square (18783556 = 4334²).

The spelling of 676208016 in words is "six hundred seventy-six million, two hundred eight thousand, sixteen".