634259340 has 288 divisors, whose sum is σ = 2319250752. Its totient is φ = 138240000.

The previous prime is 634259333. The next prime is 634259369. The reversal of 634259340 is 43952436.

634259340 is a `hidden beast` number, since 63 + 4 + 2 + 593 + 4 + 0 = 666.

634259340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 = 634259295 and 634259304.

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, 1055040 + ... + 1055640.

It is an arithmetic number, because the mean of its divisors is an integer number (8052954).

Almost surely, 2^634259340 is an apocalyptic number.

634259340 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 634259340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159625376).

634259340 is an abundant number, since it is smaller than the sum of its proper divisors (1684991412).

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

634259340 is a wasteful number, since it uses less digits than its factorization.

634259340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 634259340 is about 25184.5059510803. The cubic root of 634259340 is about 859.1894923707.

The spelling of 634259340 in words is "six hundred thirty-four million, two hundred fifty-nine thousand, three hundred forty".