1302401664 has 192 divisors, whose sum is σ = 3980652000. Its totient is φ = 407586816.

The previous prime is 1302401627. The next prime is 1302401689. The reversal of 1302401664 is 4661042031.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3436227 + ... + 3436605.

Almost surely, 2^1302401664 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 1302401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990326000).

1302401664 is an abundant number, since it is smaller than the sum of its proper divisors (2678250336).

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

1302401664 is a wasteful number, since it uses less digits than its factorization.

1302401664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1302401664 is about 36088.8024738976. The cubic root of 1302401664 is about 1092.0645616540.

Adding to 1302401664 its reverse (4661042031), we get a palindrome (5963443695).

The spelling of 1302401664 in words is "one billion, three hundred two million, four hundred one thousand, six hundred sixty-four".