633488 has 30 divisors (see below), whose sum is σ = 1313346. Its totient is φ = 295936.

The previous prime is 633487. The next prime is 633497. The reversal of 633488 is 884336.

Added to its reverse (884336) it gives a square (1517824 = 1232²).

It can be written as a sum of positive squares in 3 ways, for example, as 283024 + 350464 = 532^2 + 592^2 .

It is a super-2 number, since 2×633488² = 802614092288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633487) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4556 + ... + 4692.

2⁶³³⁴⁸⁸ is an apocalyptic number.

633488 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 633488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656673).

633488 is an abundant number, since it is smaller than the sum of its proper divisors (679858).

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

633488 is a wasteful number, since it uses less digits than its factorization.

633488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 633488 is about 795.9195939289. The cubic root of 633488 is about 85.8841056530.

Adding to 633488 its reverse (884336), we get a square (1517824 = 1232²).

The spelling of 633488 in words is "six hundred thirty-three thousand, four hundred eighty-eight".