633312064 has 126 divisors (see below), whose sum is σ = 1607854290. Its totient is φ = 246597120.

The previous prime is 633312059. The next prime is 633312089. The reversal of 633312064 is 460213336.

633312064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 547934464 + 85377600 = 23408^2 + 9240^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 378622 + ... + 380290.

Almost surely, 2^633312064 is an apocalyptic number.

633312064 is a gapful number since it is divisible by the number (64) 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 633312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803927145).

633312064 is an abundant number, since it is smaller than the sum of its proper divisors (974542226).

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

633312064 is a wasteful number, since it uses less digits than its factorization.

633312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 633312064 is about 25165.6922018847. The cubic root of 633312064 is about 858.7615417117.

The spelling of 633312064 in words is "six hundred thirty-three million, three hundred twelve thousand, sixty-four".