1058695680 has 320 divisors, whose sum is σ = 3959746560. Its totient is φ = 236273664.

The previous prime is 1058695657. The next prime is 1058695709. The reversal of 1058695680 is 865968501.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1058695680² = 2241673085701324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2526511 + ... + 2526929.

It is an arithmetic number, because the mean of its divisors is an integer number (12374208).

Almost surely, 2^1058695680 is an apocalyptic number.

1058695680 is a gapful number since it is divisible by the number (10) 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 1058695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979873280).

1058695680 is an abundant number, since it is smaller than the sum of its proper divisors (2901050880).

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

1058695680 is an equidigital number, since it uses as much as digits as its factorization.

1058695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 1058695680 is about 32537.6040912665. The cubic root of 1058695680 is about 1019.1944427849.

The spelling of 1058695680 in words is "one billion, fifty-eight million, six hundred ninety-five thousand, six hundred eighty".