1038058560 has 672 divisors, whose sum is σ = 4625547264. Its totient is φ = 207360000.

The previous prime is 1038058547. The next prime is 1038058561. The reversal of 1038058560 is 658508301.

1038058560 is a `hidden beast` number, since 10 + 3 + 8 + 0 + 585 + 60 = 666.

1038058560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (1038058561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6874485 + ... + 6874635.

Almost surely, 2^1038058560 is an apocalyptic number.

1038058560 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 1038058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312773632).

1038058560 is an abundant number, since it is smaller than the sum of its proper divisors (3587488704).

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

1038058560 is a wasteful number, since it uses less digits than its factorization.

1038058560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1038058560 is about 32218.9161828886. The cubic root of 1038058560 is about 1012.5285661808.

The spelling of 1038058560 in words is "one billion, thirty-eight million, fifty-eight thousand, five hundred sixty".