1073011680 has 432 divisors, whose sum is σ = 4167386496. Its totient is φ = 249661440.

The previous prime is 1073011657. The next prime is 1073011691. The reversal of 1073011680 is 861103701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24953739 + ... + 24953781.

It is an arithmetic number, because the mean of its divisors is an integer number (9646728).

Almost surely, 2^1073011680 is an apocalyptic number.

1073011680 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 1073011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083693248).

1073011680 is an abundant number, since it is smaller than the sum of its proper divisors (3094374816).

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

1073011680 is a wasteful number, since it uses less digits than its factorization.

1073011680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1073011680 is about 32756.8569920864. The cubic root of 1073011680 is about 1023.7678408426.

The spelling of 1073011680 in words is "one billion, seventy-three million, eleven thousand, six hundred eighty".