1058682240 has 864 divisors, whose sum is σ = 4825154880. Its totient is φ = 212889600.

The previous prime is 1058682217. The next prime is 1058682269. The reversal of 1058682240 is 422868501.

1058682240 is a `hidden beast` number, since 10 + 586 + 8 + 22 + 40 = 666.

It is a super-2 number, since 2×1058682240² = 2241616170582835200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1058682195 and 1058682204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 34151025 + ... + 34151055.

It is an arithmetic number, because the mean of its divisors is an integer number (5584670).

Almost surely, 2^1058682240 is an apocalyptic number.

1058682240 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 1058682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412577440).

1058682240 is an abundant number, since it is smaller than the sum of its proper divisors (3766472640).

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

1058682240 is a wasteful number, since it uses less digits than its factorization.

1058682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1058682240 is about 32537.3975603458. The cubic root of 1058682240 is about 1019.1901299209.

The spelling of 1058682240 in words is "one billion, fifty-eight million, six hundred eighty-two thousand, two hundred forty".