1008648140 has 24 divisors (see below), whose sum is σ = 2119681872. Its totient is φ = 403169600.

The previous prime is 1008648107. The next prime is 1008648167. The reversal of 1008648140 is 418468001.

It is a junction number, because it is equal to n+sod(n) for n = 1008648097 and 1008648106.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11642 + ... + 46398.

It is an arithmetic number, because the mean of its divisors is an integer number (88320078).

Almost surely, 2^1008648140 is an apocalyptic number.

1008648140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008648140 is an abundant number, since it is smaller than the sum of its proper divisors (1111033732).

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

1008648140 is a wasteful number, since it uses less digits than its factorization.

1008648140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36217 (or 36215 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1008648140 is about 31759.2213380618. The cubic root of 1008648140 is about 1002.8744429942.

The spelling of 1008648140 in words is "one billion, eight million, six hundred forty-eight thousand, one hundred forty".