1064588112 has 270 divisors, whose sum is σ = 3604012074. Its totient is φ = 292481280.

The previous prime is 1064588099. The next prime is 1064588123. The reversal of 1064588112 is 2118854601.

1064588112 is a `hidden beast` number, since 1 + 0 + 64 + 588 + 1 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 820478736 + 244109376 = 28644^2 + 15624^2 .

It is a super-2 number, since 2×1064588112² = 2266695696423449088, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6780738 + ... + 6780894.

Almost surely, 2^1064588112 is an apocalyptic number.

1064588112 is a gapful number since it is divisible by the number (12) 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 1064588112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802006037).

1064588112 is an abundant number, since it is smaller than the sum of its proper divisors (2539423962).

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

1064588112 is a wasteful number, since it uses less digits than its factorization.

1064588112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1064588112 is about 32628.0264803129. The cubic root of 1064588112 is about 1021.0818049500.

The spelling of 1064588112 in words is "one billion, sixty-four million, five hundred eighty-eight thousand, one hundred twelve".