633671680 has 52 divisors (see below), whose sum is σ = 1520675532. Its totient is φ = 253460480.

The previous prime is 633671669. The next prime is 633671683. The reversal of 633671680 is 86176336.

It can be written as a sum of positive squares in 2 ways, for example, as 203689984 + 429981696 = 14272^2 + 20736^2 .

It is a super-3 number, since 3×633671680³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (633671683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5010 + ... + 35950.

Almost surely, 2^633671680 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 633671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760337766).

633671680 is an abundant number, since it is smaller than the sum of its proper divisors (887003852).

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

633671680 is an equidigital number, since it uses as much as digits as its factorization.

633671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30970 (or 30948 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 633671680 is about 25172.8361532824. The cubic root of 633671680 is about 858.9240555670.

The spelling of 633671680 in words is "six hundred thirty-three million, six hundred seventy-one thousand, six hundred eighty".