1008114020 has 24 divisors (see below), whose sum is σ = 2118924024. Its totient is φ = 402886656.

The previous prime is 1008114011. The next prime is 1008114073. The reversal of 1008114020 is 204118001.

It can be written as a sum of positive squares in 4 ways, for example, as 559606336 + 448507684 = 23656^2 + 21178^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1008114020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1202 + ... + 44918.

It is an arithmetic number, because the mean of its divisors is an integer number (88288501).

Almost surely, 2^1008114020 is an apocalyptic number.

1008114020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008114020 is an abundant number, since it is smaller than the sum of its proper divisors (1110810004).

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

1008114020 is a wasteful number, since it uses less digits than its factorization.

1008114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44879 (or 44877 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1008114020 is about 31750.8113282165. The cubic root of 1008114020 is about 1002.6973908738.

The spelling of 1008114020 in words is "one billion, eight million, one hundred fourteen thousand, twenty".