10741680 has 80 divisors (see below), whose sum is σ = 37006560. Its totient is φ = 2863872.

The previous prime is 10741651. The next prime is 10741691. The reversal of 10741680 is 8614701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327 + ... + 4646.

It is an arithmetic number, because the mean of its divisors is an integer number (462582).

Almost surely, 2^10741680 is an apocalyptic number.

10741680 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 10741680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18503280).

10741680 is an abundant number, since it is smaller than the sum of its proper divisors (26264880).

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

10741680 is a wasteful number, since it uses less digits than its factorization.

10741680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10741680 is about 3277.4502284550. The cubic root of 10741680 is about 220.6432961846.

The spelling of 10741680 in words is "ten million, seven hundred forty-one thousand, six hundred eighty".