16126880 has 216 divisors, whose sum is σ = 51581124. Its totient is φ = 4730880.

The previous prime is 16126879. The next prime is 16126907. The reversal of 16126880 is 8862161.

16126880 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 16032016 + 94864 = 4004^2 + 308^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 35 ways as a sum of consecutive naturals, for example, 948632 + ... + 948648.

Almost surely, 2^16126880 is an apocalyptic number.

16126880 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 16126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25790562).

16126880 is an abundant number, since it is smaller than the sum of its proper divisors (35454244).

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

16126880 is a wasteful number, since it uses less digits than its factorization.

16126880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 16126880 is about 4015.8286816048. The cubic root of 16126880 is about 252.6485352898.

The spelling of 16126880 in words is "sixteen million, one hundred twenty-six thousand, eight hundred eighty".