672976100 has 36 divisors (see below), whose sum is σ = 1468465908. Its totient is φ = 267696000.

The previous prime is 672976079. The next prime is 672976111. The reversal of 672976100 is 1679276.

It can be written as a sum of positive squares in 6 ways, for example, as 202606756 + 470369344 = 14234^2 + 21688^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 491 + ... + 36690.

Almost surely, 2^672976100 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 672976100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734232954).

672976100 is an abundant number, since it is smaller than the sum of its proper divisors (795489808).

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

672976100 is a wasteful number, since it uses less digits than its factorization.

672976100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37376 (or 37369 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 672976100 is about 25941.7828994077. The cubic root of 672976100 is about 876.3277149339.

The spelling of 672976100 in words is "six hundred seventy-two million, nine hundred seventy-six thousand, one hundred".