672099840 has 240 divisors, whose sum is σ = 2405310336. Its totient is φ = 173260800.

The previous prime is 672099833. The next prime is 672099851. The reversal of 672099840 is 48990276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 713770 + ... + 714710.

Almost surely, 2^672099840 is an apocalyptic number.

672099840 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 672099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202655168).

672099840 is an abundant number, since it is smaller than the sum of its proper divisors (1733210496).

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

672099840 is a wasteful number, since it uses less digits than its factorization.

672099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 672099840 is about 25924.8884279181. Note that the first 3 decimals coincide. The cubic root of 672099840 is about 875.9472039238.

The spelling of 672099840 in words is "six hundred seventy-two million, ninety-nine thousand, eight hundred forty".