672096960 has 224 divisors, whose sum is σ = 2396459520. Its totient is φ = 177306624.

The previous prime is 672096959. The next prime is 672096973. The reversal of 672096960 is 69690276.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924117 + ... + 924843.

It is an arithmetic number, because the mean of its divisors is an integer number (10698480).

Almost surely, 2^672096960 is an apocalyptic number.

672096960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198229760).

672096960 is an abundant number, since it is smaller than the sum of its proper divisors (1724362560).

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

672096960 is a wasteful number, since it uses less digits than its factorization.

672096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 672096960 is about 25924.8328827786. The cubic root of 672096960 is about 875.9459527548.

The spelling of 672096960 in words is "six hundred seventy-two million, ninety-six thousand, nine hundred sixty".