16111680 has 112 divisors (see below), whose sum is σ = 55132224. Its totient is φ = 3962880.

The previous prime is 16111679. The next prime is 16111709. The reversal of 16111680 is 8611161.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16111680.

It is an unprimeable number.

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, 11835 + ... + 13125.

It is an arithmetic number, because the mean of its divisors is an integer number (492252).

Almost surely, 2^16111680 is an apocalyptic number.

16111680 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 16111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27566112).

16111680 is an abundant number, since it is smaller than the sum of its proper divisors (39020544).

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

16111680 is a wasteful number, since it uses less digits than its factorization.

16111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 16111680 is about 4013.9357244480. The cubic root of 16111680 is about 252.5691344203.

The spelling of 16111680 in words is "sixteen million, one hundred eleven thousand, six hundred eighty".