672824544 has 96 divisors (see below), whose sum is σ = 2025144576. Its totient is φ = 191600640.

The previous prime is 672824533. The next prime is 672824557. The reversal of 672824544 is 445428276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 672824496 and 672824505.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 224979 + ... + 227949.

It is an arithmetic number, because the mean of its divisors is an integer number (21095256).

Almost surely, 2^672824544 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 672824544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012572288).

672824544 is an abundant number, since it is smaller than the sum of its proper divisors (1352320032).

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

672824544 is a wasteful number, since it uses less digits than its factorization.

672824544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3320 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The square root of 672824544 is about 25938.8616558245. The cubic root of 672824544 is about 876.2619262210.

The spelling of 672824544 in words is "six hundred seventy-two million, eight hundred twenty-four thousand, five hundred forty-four".