16886880 has 120 divisors (see below), whose sum is σ = 59642352. Its totient is φ = 4499712.

The previous prime is 16886869. The next prime is 16886887. The reversal of 16886880 is 8868861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×16886880² = 570333432268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16886887) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12309 + ... + 13611.

Almost surely, 2^16886880 is an apocalyptic number.

16886880 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 16886880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29821176).

16886880 is an abundant number, since it is smaller than the sum of its proper divisors (42755472).

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

16886880 is a wasteful number, since it uses less digits than its factorization.

16886880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 16886880 is about 4109.3649144363. The cubic root of 16886880 is about 256.5565690355.

It can be divided in two parts, 16886 and 880, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 16886880 in words is "sixteen million, eight hundred eighty-six thousand, eight hundred eighty".