634752 has 96 divisors (see below), whose sum is σ = 1989000. Its totient is φ = 193536.

The previous prime is 634747. The next prime is 634757. The reversal of 634752 is 257436.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (634747) and next prime (634757).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634757) by changing a digit.

634752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21874 + ... + 21902.

2⁶³⁴⁷⁵² 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 634752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994500).

634752 is an abundant number, since it is smaller than the sum of its proper divisors (1354248).

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

634752 is a wasteful number, since it uses less digits than its factorization.

634752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 53 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 634752 is about 796.7132482895. The cubic root of 634752 is about 85.9411892851.

The spelling of 634752 in words is "six hundred thirty-four thousand, seven hundred fifty-two".