1008800160 has 48 divisors (see below), whose sum is σ = 3177722016. Its totient is φ = 269013248.

The previous prime is 1008800147. The next prime is 1008800197. The reversal of 1008800160 is 610088001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1008800160.

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, 1050354 + ... + 1051313.

It is an arithmetic number, because the mean of its divisors is an integer number (66202542).

Almost surely, 2^1008800160 is an apocalyptic number.

1008800160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008800160 is an abundant number, since it is smaller than the sum of its proper divisors (2168921856).

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

1008800160 is a wasteful number, since it uses less digits than its factorization.

1008800160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101685 (or 2101677 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1008800160 is about 31761.6145685322. The cubic root of 1008800160 is about 1002.9248237326.

Adding to 1008800160 its reverse (610088001), we get a palindrome (1618888161).

The spelling of 1008800160 in words is "one billion, eight million, eight hundred thousand, one hundred sixty".