634117248 has 384 divisors, whose sum is σ = 2116296000. Its totient is φ = 188116992.

The previous prime is 634117243. The next prime is 634117313. The reversal of 634117248 is 842711436.

634117248 is a `hidden beast` number, since 634 + 1 + 17 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×634117248² = 804209368422187008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634117243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17138286 + ... + 17138322.

Almost surely, 2^634117248 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 634117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058148000).

634117248 is an abundant number, since it is smaller than the sum of its proper divisors (1482178752).

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

634117248 is a wasteful number, since it uses less digits than its factorization.

634117248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 634117248 is about 25181.6847728662. The cubic root of 634117248 is about 859.1253266772.

The spelling of 634117248 in words is "six hundred thirty-four million, one hundred seventeen thousand, two hundred forty-eight".