1636431648 has 96 divisors (see below), whose sum is σ = 4358152512. Its totient is φ = 537600000.

The previous prime is 1636431637. The next prime is 1636431649. The reversal of 1636431648 is 8461346361.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1636431649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2722548 + ... + 2723148.

It is an arithmetic number, because the mean of its divisors is an integer number (45397422).

Almost surely, 2^1636431648 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 1636431648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179076256).

1636431648 is an abundant number, since it is smaller than the sum of its proper divisors (2721720864).

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

1636431648 is a wasteful number, since it uses less digits than its factorization.

1636431648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 970 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 1636431648 is about 40452.8323853843. The cubic root of 1636431648 is about 1178.4177894185.

The spelling of 1636431648 in words is "one billion, six hundred thirty-six million, four hundred thirty-one thousand, six hundred forty-eight".