16711680 has 136 divisors (see below), whose sum is σ = 56622672. Its totient is φ = 4194304.

The previous prime is 16711661. The next prime is 16711693. The reversal of 16711680 is 8611761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (136).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2, base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 16711680 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 983032 + ... + 983048.

Almost surely, 2^16711680 is an apocalyptic number.

16711680 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 16711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28311336).

16711680 is an abundant number, since it is smaller than the sum of its proper divisors (39910992).

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

16711680 is an frugal number, since it uses more digits than its factorization.

16711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 16711680 is about 4087.9921722039. The cubic root of 16711680 is about 255.6662316945. Note that the first 3 decimals are identical.

It can be divided in two parts, 16711 and 680, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 16711680 in words is "sixteen million, seven hundred eleven thousand, six hundred eighty".