1008138960 has 120 divisors (see below), whose sum is σ = 3511129440. Its totient is φ = 268831872.

The previous prime is 1008138953. The next prime is 1008138973. The reversal of 1008138960 is 698318001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6490 + ... + 45369.

It is an arithmetic number, because the mean of its divisors is an integer number (29259412).

Almost surely, 2^1008138960 is an apocalyptic number.

1008138960 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 1008138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755564720).

1008138960 is an abundant number, since it is smaller than the sum of its proper divisors (2502990480).

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

1008138960 is an equidigital number, since it uses as much as digits as its factorization.

1008138960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51887 (or 51869 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1008138960 is about 31751.2040716569. The cubic root of 1008138960 is about 1002.7056594711.

The spelling of 1008138960 in words is "one billion, eight million, one hundred thirty-eight thousand, nine hundred sixty".