672468048 has 320 divisors, whose sum is σ = 2376990720. Its totient is φ = 177666048.

The previous prime is 672468011. The next prime is 672468053. The reversal of 672468048 is 840864276.

It is a junction number, because it is equal to n+sod(n) for n = 672467994 and 672468012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5294961 + ... + 5295087.

It is an arithmetic number, because the mean of its divisors is an integer number (7428096).

Almost surely, 2^672468048 is an apocalyptic number.

672468048 is a gapful number since it is divisible by the number (68) 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 672468048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188495360).

672468048 is an abundant number, since it is smaller than the sum of its proper divisors (1704522672).

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

672468048 is a wasteful number, since it uses less digits than its factorization.

672468048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 672468048 is about 25931.9888940282. The cubic root of 672468048 is about 876.1071364555.

The spelling of 672468048 in words is "six hundred seventy-two million, four hundred sixty-eight thousand, forty-eight".