1071721680 has 160 divisors (see below), whose sum is σ = 3517810560. Its totient is φ = 269445120.

The previous prime is 1071721661. The next prime is 1071721711. The reversal of 1071721680 is 861271701.

It is a super-2 number, since 2×1071721680² = 2297174718764044800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297490 + ... + 301070.

It is an arithmetic number, because the mean of its divisors is an integer number (21986316).

Almost surely, 2^1071721680 is an apocalyptic number.

1071721680 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 1071721680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758905280).

1071721680 is an abundant number, since it is smaller than the sum of its proper divisors (2446088880).

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

1071721680 is a wasteful number, since it uses less digits than its factorization.

1071721680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 33.

The square root of 1071721680 is about 32737.1605366134. The cubic root of 1071721680 is about 1023.3574103580.

The spelling of 1071721680 in words is "one billion, seventy-one million, seven hundred twenty-one thousand, six hundred eighty".