1034366080 has 288 divisors, whose sum is σ = 2946128220. Its totient is φ = 346705920.

The previous prime is 1034366077. The next prime is 1034366089. The reversal of 1034366080 is 806634301.

It can be written as a sum of positive squares in 2 ways, for example, as 1009205824 + 25160256 = 31768^2 + 5016^2 .

It is not an unprimeable number, because it can be changed into a prime (1034366089) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27955822 + ... + 27955858.

Almost surely, 2^1034366080 is an apocalyptic number.

1034366080 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 1034366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473064110).

1034366080 is an abundant number, since it is smaller than the sum of its proper divisors (1911762140).

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

1034366080 is a wasteful number, since it uses less digits than its factorization.

1034366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 1034366080 is about 32161.5621511145. The cubic root of 1034366080 is about 1011.3265841239.

The spelling of 1034366080 in words is "one billion, thirty-four million, three hundred sixty-six thousand, eighty".