633820 has 48 divisors (see below), whose sum is σ = 1507968. Its totient is φ = 221760.

The previous prime is 633803. The next prime is 633823. The reversal of 633820 is 28336.

633820 = T₃₁₉ + T₃₂₀ + ... + T₃₃₀.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 633791 and 633800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633823) 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, 9427 + ... + 9493.

It is an arithmetic number, because the mean of its divisors is an integer number (31416).

2⁶³³⁸²⁰ 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 633820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753984).

633820 is an abundant number, since it is smaller than the sum of its proper divisors (874148).

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

633820 is a wasteful number, since it uses less digits than its factorization.

633820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 633820 is about 796.1281303911. The cubic root of 633820 is about 85.8991064862.

It can be divided in two parts, 63 and 3820, that added together give a palindrome (3883).

The spelling of 633820 in words is "six hundred thirty-three thousand, eight hundred twenty".