16775680 has 40 divisors (see below), whose sum is σ = 40228452. Its totient is φ = 6709248.

The previous prime is 16775669. The next prime is 16775687. The reversal of 16775680 is 8657761.

It can be written as a sum of positive squares in 2 ways, for example, as 16386304 + 389376 = 4048^2 + 624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (16775687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 717 + ... + 5836.

Almost surely, 2^16775680 is an apocalyptic number.

16775680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16775680 is an abundant number, since it is smaller than the sum of its proper divisors (23452772).

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

16775680 is an frugal number, since it uses more digits than its factorization.

16775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 16775680 is about 4095.8124957083. The cubic root of 16775680 is about 255.9921872616.

The spelling of 16775680 in words is "sixteen million, seven hundred seventy-five thousand, six hundred eighty".