634111632 has 240 divisors, whose sum is σ = 2287770240. Its totient is φ = 164609280.

The previous prime is 634111631. The next prime is 634111697. The reversal of 634111632 is 236111436.

634111632 is a `hidden beast` number, since 634 + 11 + 16 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 634111596 and 634111605.

It is not an unprimeable number, because it can be changed into a prime (634111631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365038 + ... + 366770.

It is an arithmetic number, because the mean of its divisors is an integer number (9532376).

Almost surely, 2^634111632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634111632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143885120).

634111632 is an abundant number, since it is smaller than the sum of its proper divisors (1653658608).

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

634111632 is a wasteful number, since it uses less digits than its factorization.

634111632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1756 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 634111632 is about 25181.5732630032. The cubic root of 634111632 is about 859.1227904154.

The spelling of 634111632 in words is "six hundred thirty-four million, one hundred eleven thousand, six hundred thirty-two".