16381680 has 160 divisors (see below), whose sum is σ = 59520000. Its totient is φ = 3725568.

The previous prime is 16381661. The next prime is 16381691. The reversal of 16381680 is 8618361.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82221 + ... + 82419.

It is an arithmetic number, because the mean of its divisors is an integer number (372000).

Almost surely, 2^16381680 is an apocalyptic number.

16381680 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 16381680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760000).

16381680 is an abundant number, since it is smaller than the sum of its proper divisors (43138320).

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

16381680 is a wasteful number, since it uses less digits than its factorization.

16381680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 16381680 is about 4047.4288134568. The cubic root of 16381680 is about 253.9721795640.

The spelling of 16381680 in words is "sixteen million, three hundred eighty-one thousand, six hundred eighty".