672135984 has 180 divisors, whose sum is σ = 2070871920. Its totient is φ = 203374080.

The previous prime is 672135977. The next prime is 672136007. The reversal of 672135984 is 489531276.

672135984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1727662 + ... + 1728050.

It is an arithmetic number, because the mean of its divisors is an integer number (11504844).

Almost surely, 2^672135984 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 672135984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035435960).

672135984 is an abundant number, since it is smaller than the sum of its proper divisors (1398735936).

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

672135984 is a wasteful number, since it uses less digits than its factorization.

672135984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 478 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 672135984 is about 25925.5855092995. The cubic root of 672135984 is about 875.9629057915.

The spelling of 672135984 in words is "six hundred seventy-two million, one hundred thirty-five thousand, nine hundred eighty-four".