16771680 has 144 divisors (see below), whose sum is σ = 60343920. Its totient is φ = 4230144.

The previous prime is 16771663. The next prime is 16771681. The reversal of 16771680 is 8617761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16771681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27054 + ... + 27666.

It is an arithmetic number, because the mean of its divisors is an integer number (419055).

Almost surely, 2^16771680 is an apocalyptic number.

16771680 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 16771680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30171960).

16771680 is an abundant number, since it is smaller than the sum of its proper divisors (43572240).

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

16771680 is a wasteful number, since it uses less digits than its factorization.

16771680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 16771680 is about 4095.3241629937. The cubic root of 16771680 is about 255.9718393503.

The spelling of 16771680 in words is "sixteen million, seven hundred seventy-one thousand, six hundred eighty".