1056140640 has 384 divisors, whose sum is σ = 3987688320. Its totient is φ = 260112384.

The previous prime is 1056140597. The next prime is 1056140677. The reversal of 1056140640 is 460416501.

1056140640 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 14 + 0 + 640 = 666.

It is a super-2 number, since 2×1056140640² = 2230866102919219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5361022 + ... + 5361218.

It is an arithmetic number, because the mean of its divisors is an integer number (10384605).

Almost surely, 2^1056140640 is an apocalyptic number.

1056140640 is a gapful number since it is divisible by the number (10) 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 1056140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993844160).

1056140640 is an abundant number, since it is smaller than the sum of its proper divisors (2931547680).

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

1056140640 is a wasteful number, since it uses less digits than its factorization.

1056140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

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

The square root of 1056140640 is about 32498.3174949104. The cubic root of 1056140640 is about 1018.3738795465.

The spelling of 1056140640 in words is "one billion, fifty-six million, one hundred forty thousand, six hundred forty".