672910416 has 100 divisors (see below), whose sum is σ = 2000378292. Its totient is φ = 218225664.

The previous prime is 672910393. The next prime is 672910417. The reversal of 672910416 is 614019276.

It can be written as a sum of positive squares in 2 ways, for example, as 342398016 + 330512400 = 18504^2 + 18180^2 .

It is a super-2 number, since 2×672910416² = 905616855922586112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672910417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40936 + ... + 54968.

Almost surely, 2^672910416 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 672910416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000189146).

672910416 is an abundant number, since it is smaller than the sum of its proper divisors (1327467876).

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

672910416 is a wasteful number, since it uses less digits than its factorization.

672910416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14090 (or 14075 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 672910416 is about 25940.5168799698. The cubic root of 672910416 is about 876.2992034793.

The spelling of 672910416 in words is "six hundred seventy-two million, nine hundred ten thousand, four hundred sixteen".