1001078640 has 60 divisors (see below), whose sum is σ = 3361958184. Its totient is φ = 266954112.

The previous prime is 1001078633. The next prime is 1001078641. The reversal of 1001078640 is 468701001.

It is a happy number.

1001078640 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 7 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001078641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 694474 + ... + 695913.

Almost surely, 2^1001078640 is an apocalyptic number.

1001078640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001078640 is an abundant number, since it is smaller than the sum of its proper divisors (2360879544).

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

1001078640 is a wasteful number, since it uses less digits than its factorization.

1001078640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390406 (or 1390397 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1001078640 is about 31639.8268010430. The cubic root of 1001078640 is about 1000.3594174703.

Adding to 1001078640 its reverse (468701001), we get a palindrome (1469779641).

The spelling of 1001078640 in words is "one billion, one million, seventy-eight thousand, six hundred forty".