1078640640 has 720 divisors, whose sum is σ = 4907185920. Its totient is φ = 212336640.

The previous prime is 1078640597. The next prime is 1078640657. The reversal of 1078640640 is 460468701.

1078640640 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 6 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 1078640595 and 1078640604.

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, 56770551 + ... + 56770569.

It is an arithmetic number, because the mean of its divisors is an integer number (6815536).

Almost surely, 2^1078640640 is an apocalyptic number.

1078640640 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 1078640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453592960).

1078640640 is an abundant number, since it is smaller than the sum of its proper divisors (3828545280).

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

1078640640 is a wasteful number, since it uses less digits than its factorization.

1078640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1078640640 is about 32842.6649345025. The cubic root of 1078640640 is about 1025.5549293336.

The spelling of 1078640640 in words is "one billion, seventy-eight million, six hundred forty thousand, six hundred forty".