633880 has 64 divisors (see below), whose sum is σ = 1632960. Its totient is φ = 219648.

The previous prime is 633877. The next prime is 633883. The reversal of 633880 is 88336.

It is an interprime number because it is at equal distance from previous prime (633877) and next prime (633883).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633883) 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, 11934 + ... + 11986.

It is an arithmetic number, because the mean of its divisors is an integer number (25515).

2⁶³³⁸⁸⁰ is an apocalyptic number.

633880 is the 460-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480).

633880 is an abundant number, since it is smaller than the sum of its proper divisors (999080).

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

633880 is a wasteful number, since it uses less digits than its factorization.

633880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 633880 is about 796.1658118759. The cubic root of 633880 is about 85.9018169212.

It can be divided in two parts, 633 and 880, that multiplied together give a triangular number (557040 = T₁₀₅₅).

The spelling of 633880 in words is "six hundred thirty-three thousand, eight hundred eighty".