10971680 has 48 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 4292352.

The previous prime is 10971679. The next prime is 10971707. The reversal of 10971680 is 8617901.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6791 + ... + 8249.

It is an arithmetic number, because the mean of its divisors is an integer number (551880).

Almost surely, 2^10971680 is an apocalyptic number.

10971680 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 10971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120).

10971680 is an abundant number, since it is smaller than the sum of its proper divisors (15518560).

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

10971680 is a wasteful number, since it uses less digits than its factorization.

10971680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 10971680 is about 3312.3526382316. The cubic root of 10971680 is about 222.2069871037.

The spelling of 10971680 in words is "ten million, nine hundred seventy-one thousand, six hundred eighty".