634226208 has 384 divisors, whose sum is σ = 2264371200. Its totient is φ = 153538560.

The previous prime is 634226207. The next prime is 634226209. The reversal of 634226208 is 802622436.

It is an interprime number because it is at equal distance from previous prime (634226207) and next prime (634226209).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634226207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6157485 + ... + 6157587.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2^634226208 is an apocalyptic number.

634226208 is a gapful number since it is divisible by the number (68) 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 634226208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132185600).

634226208 is an abundant number, since it is smaller than the sum of its proper divisors (1630144992).

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

634226208 is a wasteful number, since it uses less digits than its factorization.

634226208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 634226208 is about 25183.8481571026. The cubic root of 634226208 is about 859.1745315284.

The spelling of 634226208 in words is "six hundred thirty-four million, two hundred twenty-six thousand, two hundred eight".