634289040 has 480 divisors, whose sum is σ = 2816176896. Its totient is φ = 123863040.

The previous prime is 634288973. The next prime is 634289053. The reversal of 634289040 is 40982436.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 634288986 and 634289004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 942144 + ... + 942816.

Almost surely, 2^634289040 is an apocalyptic number.

634289040 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 634289040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408088448).

634289040 is an abundant number, since it is smaller than the sum of its proper divisors (2181887856).

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

634289040 is a wasteful number, since it uses less digits than its factorization.

634289040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 634289040 is about 25185.0955924332. The cubic root of 634289040 is about 859.2029030415.

The spelling of 634289040 in words is "six hundred thirty-four million, two hundred eighty-nine thousand, forty".