633420 has 120 divisors (see below), whose sum is σ = 2195424. Its totient is φ = 152064.

The previous prime is 633407. The next prime is 633427. The reversal of 633420 is 24336.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 633393 and 633402.

It is not an unprimeable number, because it can be changed into a prime (633427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27529 + ... + 27551.

2⁶³³⁴²⁰ is an apocalyptic number.

633420 is a gapful number since it is divisible by the number (60) 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 633420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097712).

633420 is an abundant number, since it is smaller than the sum of its proper divisors (1562004).

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

633420 is a wasteful number, since it uses less digits than its factorization.

633420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 633420 is about 795.8768748996. The cubic root of 633420 is about 85.8810325466.

Adding to 633420 its reverse (24336), we get a palindrome (657756).

The spelling of 633420 in words is "six hundred thirty-three thousand, four hundred twenty".