8574056000 has 112 divisors (see below), whose sum is σ = 21379129200. Its totient is φ = 3406131200.

The previous prime is 8574055969. The next prime is 8574056009. The reversal of 8574056000 is 6504758.

It can be written as a sum of positive squares in 8 ways, for example, as 6746322496 + 1827733504 = 82136^2 + 42752^2 .

It is a super-2 number, since 2×8574056000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8574056009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188404 + ... + 1195596.

Almost surely, 2^8574056000 is an apocalyptic number.

8574056000 is a gapful number since it is divisible by the number (80) 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 8574056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10689564600).

8574056000 is an abundant number, since it is smaller than the sum of its proper divisors (12805073200).

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

8574056000 is a wasteful number, since it uses less digits than its factorization.

8574056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7369 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 8574056000 is about 92596.1986260775. The cubic root of 8574056000 is about 2046.7373045302.

The spelling of 8574056000 in words is "eight billion, five hundred seventy-four million, fifty-six thousand".