1008958140 has 192 divisors, whose sum is σ = 3419136000. Its totient is φ = 246032640.

The previous prime is 1008958133. The next prime is 1008958141. The reversal of 1008958140 is 418598001.

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 = 1008958095 and 1008958104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008958141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295845 + ... + 299235.

It is an arithmetic number, because the mean of its divisors is an integer number (17808000).

Almost surely, 2^1008958140 is an apocalyptic number.

1008958140 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 1008958140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709568000).

1008958140 is an abundant number, since it is smaller than the sum of its proper divisors (2410177860).

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

1008958140 is a wasteful number, since it uses less digits than its factorization.

1008958140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1008958140 is about 31764.1014354255. The cubic root of 1008958140 is about 1002.9771743037.

The spelling of 1008958140 in words is "one billion, eight million, nine hundred fifty-eight thousand, one hundred forty".