634872 has 32 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 181344.

The previous prime is 634871. The next prime is 634891. The reversal of 634872 is 278436.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1722 + ... + 2057.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2⁶³⁴⁸⁷² is an apocalyptic number.

It is an amenable number.

634872 is an abundant number, since it is smaller than the sum of its proper divisors (1179528).

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

634872 is a wasteful number, since it uses less digits than its factorization.

634872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3791 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 634872 is about 796.7885541347. The cubic root of 634872 is about 85.9466046772.

It can be divided in two parts, 63 and 4872, that multiplied together give a triangular number (306936 = T₇₈₃).

The spelling of 634872 in words is "six hundred thirty-four thousand, eight hundred seventy-two".