634417980 has 192 divisors, whose sum is σ = 2159861760. Its totient is φ = 135910656.

The previous prime is 634417967. The next prime is 634417981. The reversal of 634417980 is 89714436.

634417980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×634417980³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634417981) 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, 853489 + ... + 854231.

It is an arithmetic number, because the mean of its divisors is an integer number (11249280).

Almost surely, 2^634417980 is an apocalyptic number.

634417980 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 634417980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079930880).

634417980 is an abundant number, since it is smaller than the sum of its proper divisors (1525443780).

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

634417980 is a wasteful number, since it uses less digits than its factorization.

634417980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 634417980 is about 25187.6553096949. The cubic root of 634417980 is about 859.2611194640.

The spelling of 634417980 in words is "six hundred thirty-four million, four hundred seventeen thousand, nine hundred eighty".