634052224 has 64 divisors (see below), whose sum is σ = 1419546240. Its totient is φ = 279899136.

The previous prime is 634052203. The next prime is 634052261. The reversal of 634052224 is 422250436.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 634052192 and 634052201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29989 + ... + 46555.

It is an arithmetic number, because the mean of its divisors is an integer number (22180410).

Almost surely, 2^634052224 is an apocalyptic number.

634052224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709773120).

634052224 is an abundant number, since it is smaller than the sum of its proper divisors (785494016).

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

634052224 is a wasteful number, since it uses less digits than its factorization.

634052224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16617 (or 16605 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 634052224 is about 25180.3936426737. The cubic root of 634052224 is about 859.0959600393.

It can be divided in two parts, 6340 and 52224, that added together give a square (58564 = 242²).

The spelling of 634052224 in words is "six hundred thirty-four million, fifty-two thousand, two hundred twenty-four".