632677248 has 192 divisors, whose sum is σ = 2113537920. Its totient is φ = 177914880.

The previous prime is 632677247. The next prime is 632677277. The reversal of 632677248 is 842776236.

632677248 is a `hidden beast` number, since 632 + 6 + 7 + 7 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632677247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539703 + ... + 540873.

It is an arithmetic number, because the mean of its divisors is an integer number (11008010).

Almost surely, 2^632677248 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 632677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056768960).

632677248 is an abundant number, since it is smaller than the sum of its proper divisors (1480860672).

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

632677248 is a wasteful number, since it uses less digits than its factorization.

632677248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1250 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 632677248 is about 25153.0763128489. The cubic root of 632677248 is about 858.4745121679.

The spelling of 632677248 in words is "six hundred thirty-two million, six hundred seventy-seven thousand, two hundred forty-eight".