635424960 has 112 divisors (see below), whose sum is σ = 2060545536. Its totient is φ = 165829632.

The previous prime is 635424947. The next prime is 635424967. The reversal of 635424960 is 69424536.

635424960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (635424967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38079 + ... + 52161.

It is an arithmetic number, because the mean of its divisors is an integer number (18397728).

Almost surely, 2^635424960 is an apocalyptic number.

635424960 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 635424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030272768).

635424960 is an abundant number, since it is smaller than the sum of its proper divisors (1425120576).

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

635424960 is a wasteful number, since it uses less digits than its factorization.

635424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14150 (or 14140 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 635424960 is about 25207.6369380392. The cubic root of 635424960 is about 859.7154999085.

The spelling of 635424960 in words is "six hundred thirty-five million, four hundred twenty-four thousand, nine hundred sixty".