634350240 has 144 divisors (see below), whose sum is σ = 2292145128. Its totient is φ = 159203328.

The previous prime is 634350191. The next prime is 634350251. The reversal of 634350240 is 42053436.

634350240 is a `hidden beast` number, since 634 + 3 + 5 + 0 + 24 + 0 = 666.

634350240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 592825104 + 41525136 = 24348^2 + 6444^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11524 + ... + 37436.

Almost surely, 2^634350240 is an apocalyptic number.

634350240 is a gapful number since it is divisible by the number (60) 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 634350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146072564).

634350240 is an abundant number, since it is smaller than the sum of its proper divisors (1657794888).

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

634350240 is a wasteful number, since it uses less digits than its factorization.

634350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25951 (or 25940 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 634350240 is about 25186.3105674491. The cubic root of 634350240 is about 859.2305358310.

The spelling of 634350240 in words is "six hundred thirty-four million, three hundred fifty thousand, two hundred forty".