1008061488 has 120 divisors (see below), whose sum is σ = 3265267200. Its totient is φ = 284349312.

The previous prime is 1008061487. The next prime is 1008061501. The reversal of 1008061488 is 8841608001.

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

It is not an unprimeable number, because it can be changed into a prime (1008061487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 73303 + ... + 85961.

It is an arithmetic number, because the mean of its divisors is an integer number (27210560).

Almost surely, 2^1008061488 is an apocalyptic number.

1008061488 is a gapful number since it is divisible by the number (18) 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 1008061488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632633600).

1008061488 is an abundant number, since it is smaller than the sum of its proper divisors (2257205712).

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

1008061488 is a wasteful number, since it uses less digits than its factorization.

1008061488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12759 (or 12750 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1008061488 is about 31749.9840629881. The cubic root of 1008061488 is about 1002.6799739900.

Adding to 1008061488 its reverse (8841608001), we get a palindrome (9849669489).

The spelling of 1008061488 in words is "one billion, eight million, sixty-one thousand, four hundred eighty-eight".