8538827040 has 144 divisors (see below), whose sum is σ = 29300629176. Its totient is φ = 2264440320.

The previous prime is 8538827029. The next prime is 8538827041. The reversal of 8538827040 is 407288358.

8538827040 is a `hidden beast` number, since 8 + 538 + 8 + 2 + 70 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 774397584 + 7764429456 = 27828^2 + 88116^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8538827041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47175750 + ... + 47175930.

Almost surely, 2^8538827040 is an apocalyptic number.

8538827040 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 8538827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650314588).

8538827040 is an abundant number, since it is smaller than the sum of its proper divisors (20761802136).

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

8538827040 is an frugal number, since it uses more digits than its factorization.

8538827040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 8538827040 is about 92405.7738455774. The cubic root of 8538827040 is about 2043.9302547296.

The spelling of 8538827040 in words is "eight billion, five hundred thirty-eight million, eight hundred twenty-seven thousand, forty".