1056140064 has 144 divisors (see below), whose sum is σ = 3454109568. Its totient is φ = 299851776.

The previous prime is 1056140053. The next prime is 1056140077. The reversal of 1056140064 is 4600416501.

1056140064 is a `hidden beast` number, since 1 + 0 + 561 + 40 + 0 + 64 = 666.

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

It is a super-2 number, since 2×1056140064² = 2230863669571848192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335104 + ... + 338240.

It is an arithmetic number, because the mean of its divisors is an integer number (23986872).

Almost surely, 2^1056140064 is an apocalyptic number.

1056140064 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 1056140064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727054784).

1056140064 is an abundant number, since it is smaller than the sum of its proper divisors (2397969504).

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

1056140064 is a wasteful number, since it uses less digits than its factorization.

1056140064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1056140064 is about 32498.3086329120. The cubic root of 1056140064 is about 1018.3736944123.

Adding to 1056140064 its reverse (4600416501), we get a palindrome (5656556565).

It can be divided in two parts, 10561 and 40064, that added together give a 4-th power (50625 = 15⁴).

The spelling of 1056140064 in words is "one billion, fifty-six million, one hundred forty thousand, sixty-four".