633672 has 48 divisors (see below), whose sum is σ = 1850940. Its totient is φ = 194688.

The previous prime is 633667. The next prime is 633739. The reversal of 633672 is 276336.

It can be written as a sum of positive squares in 2 ways, for example, as 617796 + 15876 = 786^2 + 126^2 .

It is a super-3 number, since 3×633672³ = 763334351656441344, which contains 333 as substring.

It is an unprimeable number.

633672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 598 + ... + 1274.

2⁶³³⁶⁷² 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 633672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925470).

633672 is an abundant number, since it is smaller than the sum of its proper divisors (1217268).

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

633672 is a wasteful number, since it uses less digits than its factorization.

633672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 695 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 633672 is about 796.0351751022. The cubic root of 633672 is about 85.8924200151.

The spelling of 633672 in words is "six hundred thirty-three thousand, six hundred seventy-two".