1058977920 has 1024 divisors, whose sum is σ = 4935168000. Its totient is φ = 185794560.

The previous prime is 1058977867. The next prime is 1058977951. The reversal of 1058977920 is 297798501.

1058977920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1058977920² = 2242868470095052800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1058977920.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36516466 + ... + 36516494.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2^1058977920 is an apocalyptic number.

1058977920 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 1058977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467584000).

1058977920 is an abundant number, since it is smaller than the sum of its proper divisors (3876190080).

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

1058977920 is a wasteful number, since it uses less digits than its factorization.

1058977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 48.

The square root of 1058977920 is about 32541.9409378113. The cubic root of 1058977920 is about 1019.2850044972.

The spelling of 1058977920 in words is "one billion, fifty-eight million, nine hundred seventy-seven thousand, nine hundred twenty".