1008548816 has 40 divisors (see below), whose sum is σ = 2146068000. Its totient is φ = 455342720.

The previous prime is 1008548813. The next prime is 1008548831. The reversal of 1008548816 is 6188458001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008548813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6995 + ... + 45453.

It is an arithmetic number, because the mean of its divisors is an integer number (53651700).

Almost surely, 2^1008548816 is an apocalyptic number.

1008548816 is a gapful number since it is divisible by the number (16) 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 1008548816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073034000).

1008548816 is an abundant number, since it is smaller than the sum of its proper divisors (1137519184).

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

1008548816 is a wasteful number, since it uses less digits than its factorization.

1008548816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38627 (or 38621 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 41.

The square root of 1008548816 is about 31757.6575962397. The cubic root of 1008548816 is about 1002.8415234302.

The spelling of 1008548816 in words is "one billion, eight million, five hundred forty-eight thousand, eight hundred sixteen".