1058480640 has 240 divisors, whose sum is σ = 4190142528. Its totient is φ = 241901568.

The previous prime is 1058480629. The next prime is 1058480663. The reversal of 1058480640 is 460848501.

1058480640 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 4 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1058480640² = 2240762530509619200, 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 = 1058480595 and 1058480604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157999 + ... + 164561.

Almost surely, 2^1058480640 is an apocalyptic number.

1058480640 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 1058480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095071264).

1058480640 is an abundant number, since it is smaller than the sum of its proper divisors (3131661888).

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

1058480640 is an equidigital number, since it uses as much as digits as its factorization.

1058480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6599 (or 6580 counting only the distinct ones).

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

The square root of 1058480640 is about 32534.2994392072. The cubic root of 1058480640 is about 1019.1254325812.

The spelling of 1058480640 in words is "one billion, fifty-eight million, four hundred eighty thousand, six hundred forty".