1008817056 has 144 divisors (see below), whose sum is σ = 3105726624. Its totient is φ = 308777472.

The previous prime is 1008817039. The next prime is 1008817067. The reversal of 1008817056 is 6507188001.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1008817056.

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, 849295 + ... + 850481.

It is an arithmetic number, because the mean of its divisors is an integer number (21567546).

Almost surely, 2^1008817056 is an apocalyptic number.

1008817056 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 1008817056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552863312).

1008817056 is an abundant number, since it is smaller than the sum of its proper divisors (2096909568).

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

1008817056 is a wasteful number, since it uses less digits than its factorization.

1008817056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1008817056 is about 31761.8805488592. The cubic root of 1008817056 is about 1002.9304229001.

The spelling of 1008817056 in words is "one billion, eight million, eight hundred seventeen thousand, fifty-six".