16311680 has 128 divisors (see below), whose sum is σ = 48764160. Its totient is φ = 5068800.

The previous prime is 16311667. The next prime is 16311689. The reversal of 16311680 is 8611361.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16311689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49115 + ... + 49445.

It is an arithmetic number, because the mean of its divisors is an integer number (380970).

Almost surely, 2^16311680 is an apocalyptic number.

16311680 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 16311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24382080).

16311680 is an abundant number, since it is smaller than the sum of its proper divisors (32452480).

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

16311680 is a wasteful number, since it uses less digits than its factorization.

16311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 16311680 is about 4038.7720906236. The cubic root of 16311680 is about 253.6099164522.

The spelling of 16311680 in words is "sixteen million, three hundred eleven thousand, six hundred eighty".