1059293664 has 432 divisors, whose sum is σ = 3801666960. Its totient is φ = 275742720.

The previous prime is 1059293663. The next prime is 1059293693. The reversal of 1059293664 is 4663929501.

1059293664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1059293664² = 2244206133181089792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059293663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11902132 + ... + 11902220.

It is an arithmetic number, because the mean of its divisors is an integer number (8800155).

Almost surely, 2^1059293664 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 1059293664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900833480).

1059293664 is an abundant number, since it is smaller than the sum of its proper divisors (2742373296).

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

1059293664 is a wasteful number, since it uses less digits than its factorization.

1059293664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 1059293664 is about 32546.7919156405. The cubic root of 1059293664 is about 1019.3862974949.

The spelling of 1059293664 in words is "one billion, fifty-nine million, two hundred ninety-three thousand, six hundred sixty-four".