633687072 has 96 divisors (see below), whose sum is σ = 1710035712. Its totient is φ = 205396224.

The previous prime is 633687023. The next prime is 633687073. The reversal of 633687072 is 270786336.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (633687073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533263 + ... + 534449.

It is an arithmetic number, because the mean of its divisors is an integer number (17812872).

Almost surely, 2^633687072 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 633687072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855017856).

633687072 is an abundant number, since it is smaller than the sum of its proper divisors (1076348640).

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

633687072 is a wasteful number, since it uses less digits than its factorization.

633687072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 633687072 is about 25173.1418778030. The cubic root of 633687072 is about 858.9310099843.

The spelling of 633687072 in words is "six hundred thirty-three million, six hundred eighty-seven thousand, seventy-two".