1029089664 has 128 divisors (see below), whose sum is σ = 3055104000. Its totient is φ = 341015040.

The previous prime is 1029089617. The next prime is 1029089683. The reversal of 1029089664 is 4669809201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 659317 + ... + 660875.

It is an arithmetic number, because the mean of its divisors is an integer number (23868000).

Almost surely, 2^1029089664 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 1029089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527552000).

1029089664 is an abundant number, since it is smaller than the sum of its proper divisors (2026014336).

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

1029089664 is a wasteful number, since it uses less digits than its factorization.

1029089664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1029089664 is about 32079.4274263117. The cubic root of 1029089664 is about 1009.6040221425.

The spelling of 1029089664 in words is "one billion, twenty-nine million, eighty-nine thousand, six hundred sixty-four".