1000113664 has 80 divisors (see below), whose sum is σ = 2192002560. Its totient is φ = 452085760.

The previous prime is 1000113641. The next prime is 1000113671. The reversal of 1000113664 is 4663110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1345677 + ... + 1346419.

It is an arithmetic number, because the mean of its divisors is an integer number (27400032).

Almost surely, 2^1000113664 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 1000113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096001280).

1000113664 is an abundant number, since it is smaller than the sum of its proper divisors (1191888896).

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

1000113664 is an equidigital number, since it uses as much as digits as its factorization.

1000113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1000113664 is about 31624.5737362577. The cubic root of 1000113664 is about 1000.0378865646.

Adding to 1000113664 its reverse (4663110001), we get a palindrome (5663223665).

The spelling of 1000113664 in words is "one billion, one hundred thirteen thousand, six hundred sixty-four".