1001601264 has 80 divisors (see below), whose sum is σ = 2748038400. Its totient is φ = 313463808.

The previous prime is 1001601247. The next prime is 1001601277. The reversal of 1001601264 is 4621061001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001601264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98197 + ... + 107915.

It is an arithmetic number, because the mean of its divisors is an integer number (34350480).

Almost surely, 2^1001601264 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 1001601264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374019200).

1001601264 is an abundant number, since it is smaller than the sum of its proper divisors (1746437136).

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

1001601264 is a wasteful number, since it uses less digits than its factorization.

1001601264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9862 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1001601264 is about 31648.0846813832. The cubic root of 1001601264 is about 1000.5334700258.

Adding to 1001601264 its reverse (4621061001), we get a palindrome (5622662265).

The spelling of 1001601264 in words is "one billion, one million, six hundred one thousand, two hundred sixty-four".