1046621664 has 144 divisors (see below), whose sum is σ = 3335033520. Its totient is φ = 308551680.

The previous prime is 1046621663. The next prime is 1046621683. The reversal of 1046621664 is 4661266401.

1046621664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046621663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112752 + ... + 121680.

It is an arithmetic number, because the mean of its divisors is an integer number (23159955).

Almost surely, 2^1046621664 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 1046621664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667516760).

1046621664 is an abundant number, since it is smaller than the sum of its proper divisors (2288411856).

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

1046621664 is a wasteful number, since it uses less digits than its factorization.

1046621664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8993 (or 8982 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1046621664 is about 32351.5326375738. The cubic root of 1046621664 is about 1015.3051131226.

The spelling of 1046621664 in words is "one billion, forty-six million, six hundred twenty-one thousand, six hundred sixty-four".