1008636940 has 48 divisors (see below), whose sum is σ = 2217523392. Its totient is φ = 384640256.

The previous prime is 1008636899. The next prime is 1008636953. The reversal of 1008636940 is 496368001.

It is a self number, because there is not a number n which added to its sum of digits gives 1008636940.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142362 + ... + 149278.

It is an arithmetic number, because the mean of its divisors is an integer number (46198404).

Almost surely, 2^1008636940 is an apocalyptic number.

1008636940 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 1008636940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108761696).

1008636940 is an abundant number, since it is smaller than the sum of its proper divisors (1208886452).

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

1008636940 is a wasteful number, since it uses less digits than its factorization.

1008636940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 1008636940 is about 31759.0450108312. The cubic root of 1008636940 is about 1002.8707310174.

The spelling of 1008636940 in words is "one billion, eight million, six hundred thirty-six thousand, nine hundred forty".