1058261664 has 48 divisors (see below), whose sum is σ = 2790450432. Its totient is φ = 351164928.

The previous prime is 1058261609. The next prime is 1058261693. The reversal of 1058261664 is 4661628501.

It is a happy number.

1058261664 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 (48).

It is a super-2 number, since 2×1058261664² = 2239835498984097792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3309 + ... + 46124.

It is an arithmetic number, because the mean of its divisors is an integer number (58134384).

Almost surely, 2^1058261664 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 1058261664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395225216).

1058261664 is an abundant number, since it is smaller than the sum of its proper divisors (1732188768).

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

1058261664 is a wasteful number, since it uses less digits than its factorization.

1058261664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49669 (or 49661 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1058261664 is about 32530.9339552371. The cubic root of 1058261664 is about 1019.0551496387.

The spelling of 1058261664 in words is "one billion, fifty-eight million, two hundred sixty-one thousand, six hundred sixty-four".