1076218320 has 320 divisors, whose sum is σ = 3730046976. Its totient is φ = 255467520.

The previous prime is 1076218309. The next prime is 1076218331. The reversal of 1076218320 is 238126701.

It is an interprime number because it is at equal distance from previous prime (1076218309) and next prime (1076218331).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8474097 + ... + 8474223.

Almost surely, 2^1076218320 is an apocalyptic number.

1076218320 is a gapful number since it is divisible by the number (10) 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 1076218320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865023488).

1076218320 is an abundant number, since it is smaller than the sum of its proper divisors (2653828656).

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

1076218320 is a wasteful number, since it uses less digits than its factorization.

1076218320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1076218320 is about 32805.7665662609. The cubic root of 1076218320 is about 1024.7866524035.

The spelling of 1076218320 in words is "one billion, seventy-six million, two hundred eighteen thousand, three hundred twenty".