634084080 has 160 divisors (see below), whose sum is σ = 2253808128. Its totient is φ = 144460800.

The previous prime is 634084067. The next prime is 634084091. The reversal of 634084080 is 80480436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958950 + ... + 959610.

Almost surely, 2^634084080 is an apocalyptic number.

634084080 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 634084080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126904064).

634084080 is an abundant number, since it is smaller than the sum of its proper divisors (1619724048).

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

634084080 is a wasteful number, since it uses less digits than its factorization.

634084080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 634084080 is about 25181.0261903680. The cubic root of 634084080 is about 859.1103473413.

The spelling of 634084080 in words is "six hundred thirty-four million, eighty-four thousand, eighty".