1238609664 has 288 divisors, whose sum is σ = 3955875840. Its totient is φ = 380878848.

The previous prime is 1238609657. The next prime is 1238609689. The reversal of 1238609664 is 4669068321.

1238609664 is a `hidden beast` number, since 1 + 2 + 38 + 609 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9752769 + ... + 9752895.

It is an arithmetic number, because the mean of its divisors is an integer number (13735680).

Almost surely, 2^1238609664 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 1238609664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977937920).

1238609664 is an abundant number, since it is smaller than the sum of its proper divisors (2717266176).

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

1238609664 is a wasteful number, since it uses less digits than its factorization.

1238609664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1238609664 is about 35193.8867418761. The cubic root of 1238609664 is about 1073.9353913882.

The spelling of 1238609664 in words is "one billion, two hundred thirty-eight million, six hundred nine thousand, six hundred sixty-four".