1079144640 has 336 divisors, whose sum is σ = 4430268000. Its totient is φ = 246564864.

The previous prime is 1079144617. The next prime is 1079144657. The reversal of 1079144640 is 464419701.

1079144640 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 1 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 1079144595 and 1079144604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422086 + ... + 424634.

Almost surely, 2^1079144640 is an apocalyptic number.

1079144640 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 1079144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215134000).

1079144640 is an abundant number, since it is smaller than the sum of its proper divisors (3351123360).

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

1079144640 is a wasteful number, since it uses less digits than its factorization.

1079144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1079144640 is about 32850.3369845729. The cubic root of 1079144640 is about 1025.7146362775.

The spelling of 1079144640 in words is "one billion, seventy-nine million, one hundred forty-four thousand, six hundred forty".