1058013684 has 240 divisors, whose sum is σ = 3465392000. Its totient is φ = 279036576.

The previous prime is 1058013673. The next prime is 1058013703. The reversal of 1058013684 is 4863108501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1058013684 is a `hidden beast` number, since 1 + 0 + 580 + 13 + 68 + 4 = 666.

It is a super-2 number, since 2×1058013684² = 2238785911062503712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 81385662 + ... + 81385674.

Almost surely, 2^1058013684 is an apocalyptic number.

1058013684 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 1058013684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732696000).

1058013684 is an abundant number, since it is smaller than the sum of its proper divisors (2407378316).

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

1058013684 is an frugal number, since it uses more digits than its factorization.

1058013684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1058013684 is about 32527.1222827966. The cubic root of 1058013684 is about 1018.9755458111.

The spelling of 1058013684 in words is "one billion, fifty-eight million, thirteen thousand, six hundred eighty-four".