1008944640 has 320 divisors, whose sum is σ = 3912606720. Its totient is φ = 244408320.

The previous prime is 1008944639. The next prime is 1008944641. The reversal of 1008944640 is 464498001.

It is a happy number.

1008944640 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 9 + 4 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1008944639) and next prime (1008944641).

It is a tau number, because it is divible by the number of its divisors (320).

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 = 1008944595 and 1008944604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008944641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759657 + ... + 760983.

It is an arithmetic number, because the mean of its divisors is an integer number (12226896).

Almost surely, 2^1008944640 is an apocalyptic number.

1008944640 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 1008944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956303360).

1008944640 is an abundant number, since it is smaller than the sum of its proper divisors (2903662080).

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

1008944640 is a wasteful number, since it uses less digits than its factorization.

1008944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1008944640 is about 31763.8889306709. Note that the first 3 decimals coincide. The cubic root of 1008944640 is about 1002.9727009591.

The spelling of 1008944640 in words is "one billion, eight million, nine hundred forty-four thousand, six hundred forty".