632604672 has 144 divisors (see below), whose sum is σ = 2088515520. Its totient is φ = 180707328.

The previous prime is 632604671. The next prime is 632604689. The reversal of 632604672 is 276406236.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (632604671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126573 + ... + 131475.

It is an arithmetic number, because the mean of its divisors is an integer number (14503580).

Almost surely, 2^632604672 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 632604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044257760).

632604672 is an abundant number, since it is smaller than the sum of its proper divisors (1455910848).

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

632604672 is a wasteful number, since it uses less digits than its factorization.

632604672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 632604672 is about 25151.6335851173. The cubic root of 632604672 is about 858.4416849884.

The spelling of 632604672 in words is "six hundred thirty-two million, six hundred four thousand, six hundred seventy-two".