1058973664 has 96 divisors (see below), whose sum is σ = 2549836800. Its totient is φ = 422807040.

The previous prime is 1058973661. The next prime is 1058973667. The reversal of 1058973664 is 4663798501.

It is an interprime number because it is at equal distance from previous prime (1058973661) and next prime (1058973667).

It is a super-2 number, since 2×1058973664² = 2242850442091169792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058973661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257577 + ... + 261655.

It is an arithmetic number, because the mean of its divisors is an integer number (26560800).

Almost surely, 2^1058973664 is an apocalyptic number.

1058973664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1058973664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274918400).

1058973664 is an abundant number, since it is smaller than the sum of its proper divisors (1490863136).

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

1058973664 is a wasteful number, since it uses less digits than its factorization.

1058973664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 1058973664 is about 32541.8755452110. The cubic root of 1058973664 is about 1019.2836390036.

It can be divided in two parts, 105897 and 3664, that added together give a square (109561 = 331²).

The spelling of 1058973664 in words is "one billion, fifty-eight million, nine hundred seventy-three thousand, six hundred sixty-four".