1301601600 has 504 divisors, whose sum is σ = 5288020920. Its totient is φ = 300810240.

The previous prime is 1301601599. The next prime is 1301601611. The reversal of 1301601600 is 61061031.

1301601600 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 60 + 1 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 143424576 + 1158177024 = 11976^2 + 34032^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3182196 + ... + 3182604.

It is an arithmetic number, because the mean of its divisors is an integer number (10492105).

Almost surely, 2^1301601600 is an apocalyptic number.

1301601600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644010460).

1301601600 is an abundant number, since it is smaller than the sum of its proper divisors (3986419320).

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

1301601600 is a wasteful number, since it uses less digits than its factorization.

1301601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1301601600 is about 36077.7161139671. The cubic root of 1301601600 is about 1091.8408978040.

Adding to 1301601600 its reverse (61061031), we get a palindrome (1362662631).

The spelling of 1301601600 in words is "one billion, three hundred one million, six hundred one thousand, six hundred".