1073680992 has 72 divisors (see below), whose sum is σ = 3059096040. Its totient is φ = 357212160.

The previous prime is 1073680969. The next prime is 1073681003. The reversal of 1073680992 is 2990863701.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161184 + ... + 167712.

It is an arithmetic number, because the mean of its divisors is an integer number (42487445).

Almost surely, 2^1073680992 is an apocalyptic number.

1073680992 is a gapful number since it is divisible by the number (12) 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 1073680992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529548020).

1073680992 is an abundant number, since it is smaller than the sum of its proper divisors (1985415048).

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

1073680992 is a wasteful number, since it uses less digits than its factorization.

1073680992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7116 (or 7105 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1073680992 is about 32767.0717641964. The cubic root of 1073680992 is about 1023.9806616628.

The spelling of 1073680992 in words is "one billion, seventy-three million, six hundred eighty thousand, nine hundred ninety-two".