609401632 has 72 divisors (see below), whose sum is σ = 1422165276. Its totient is φ = 256209408.

The previous prime is 609401587. The next prime is 609401657. The reversal of 609401632 is 236104906.

It can be written as a sum of positive squares in 2 ways, for example, as 575808016 + 33593616 = 23996^2 + 5796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 609401594 and 609401603.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79438 + ... + 86770.

Almost surely, 2^609401632 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 609401632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711082638).

609401632 is an abundant number, since it is smaller than the sum of its proper divisors (812763644).

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

609401632 is a wasteful number, since it uses less digits than its factorization.

609401632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7410 (or 7395 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 609401632 is about 24686.0614922673. The cubic root of 609401632 is about 847.8152113077.

The spelling of 609401632 in words is "six hundred nine million, four hundred one thousand, six hundred thirty-two".