634262436 has 72 divisors (see below), whose sum is σ = 1663920440. Its totient is φ = 203544576.

The previous prime is 634262429. The next prime is 634262437.

634262436 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 416404836 + 217857600 = 20406^2 + 14760^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 634262436.

It is not an unprimeable number, because it can be changed into a prime (634262437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126750 + ... + 131658.

Almost surely, 2^634262436 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 634262436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831960220).

634262436 is an abundant number, since it is smaller than the sum of its proper divisors (1029658004).

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

634262436 is a wasteful number, since it uses less digits than its factorization.

634262436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5048 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 634262436 is about 25184.5674173689. The cubic root of 634262436 is about 859.1908903511.

The spelling of 634262436 in words is "six hundred thirty-four million, two hundred sixty-two thousand, four hundred thirty-six".