1073218176 has 96 divisors (see below), whose sum is σ = 3104630100. Its totient is φ = 355848192.

The previous prime is 1073218151. The next prime is 1073218193. The reversal of 1073218176 is 6718123701.

It can be written as a sum of positive squares in 2 ways, for example, as 1073217600 + 576 = 32760^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 1073218176.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 224580 + ... + 229308.

Almost surely, 2^1073218176 is an apocalyptic number.

1073218176 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 1073218176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552315050).

1073218176 is an abundant number, since it is smaller than the sum of its proper divisors (2031411924).

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

1073218176 is a wasteful number, since it uses less digits than its factorization.

1073218176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1073218176 is about 32760.0087912076. The cubic root of 1073218176 is about 1023.8335097160.

The spelling of 1073218176 in words is "one billion, seventy-three million, two hundred eighteen thousand, one hundred seventy-six".