1115006564 has 48 divisors (see below), whose sum is σ = 2395344000. Its totient is φ = 452698848.

The previous prime is 1115006551. The next prime is 1115006623. The reversal of 1115006564 is 4656005111.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4682 + ... + 47454.

It is an arithmetic number, because the mean of its divisors is an integer number (49903000).

Almost surely, 2^1115006564 is an apocalyptic number.

1115006564 is a gapful number since it is divisible by the number (14) 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 1115006564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197672000).

1115006564 is an abundant number, since it is smaller than the sum of its proper divisors (1280337436).

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

1115006564 is a wasteful number, since it uses less digits than its factorization.

1115006564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42817 (or 42801 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 1115006564 is about 33391.7140021293. The cubic root of 1115006564 is about 1036.9531646582.

The spelling of 1115006564 in words is "one billion, one hundred fifteen million, six thousand, five hundred sixty-four".