634546080 has 648 divisors, whose sum is σ = 2788095492. Its totient is φ = 130572288.

The previous prime is 634546067. The next prime is 634546109. The reversal of 634546080 is 80645436.

634546080 is a `hidden beast` number, since 6 + 3 + 45 + 4 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 630813456 + 3732624 = 25116^2 + 1932^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27588949 + ... + 27588971.

Almost surely, 2^634546080 is an apocalyptic number.

634546080 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 634546080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394047746).

634546080 is an abundant number, since it is smaller than the sum of its proper divisors (2153549412).

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

634546080 is a wasteful number, since it uses less digits than its factorization.

634546080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 634546080 is about 25190.1980937030. The cubic root of 634546080 is about 859.3189488159.

It can be divided in two parts, 6345 and 46080, that added together give a palindrome (52425).

The spelling of 634546080 in words is "six hundred thirty-four million, five hundred forty-six thousand, eighty".