633612 has 48 divisors (see below), whose sum is σ = 1783040. Its totient is φ = 171072.

The previous prime is 633599. The next prime is 633613. The reversal of 633612 is 216336.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (633613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1398 + ... + 1794.

2⁶³³⁶¹² 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 633612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891520).

633612 is an abundant number, since it is smaller than the sum of its proper divisors (1149428).

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

633612 is a wasteful number, since it uses less digits than its factorization.

633612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 428 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 633612 is about 795.9974874332. The cubic root of 633612 is about 85.8897089869.

Adding to 633612 its reverse (216336), we get a palindrome (849948).

The spelling of 633612 in words is "six hundred thirty-three thousand, six hundred twelve".