1026164064 has 96 divisors (see below), whose sum is σ = 2875170816. Its totient is φ = 319334400.

The previous prime is 1026164057. The next prime is 1026164071. The reversal of 1026164064 is 4604616201.

It is an interprime number because it is at equal distance from previous prime (1026164057) and next prime (1026164071).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204789 + ... + 209739.

It is an arithmetic number, because the mean of its divisors is an integer number (29949696).

Almost surely, 2^1026164064 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 1026164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437585408).

1026164064 is an abundant number, since it is smaller than the sum of its proper divisors (1849006752).

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

1026164064 is a wasteful number, since it uses less digits than its factorization.

1026164064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1026164064 is about 32033.7956539652. The cubic root of 1026164064 is about 1008.6463793238.

The spelling of 1026164064 in words is "one billion, twenty-six million, one hundred sixty-four thousand, sixty-four".