16434880 has 224 divisors, whose sum is σ = 52669440. Its totient is φ = 4730880.

The previous prime is 16434841. The next prime is 16434881. The reversal of 16434880 is 8843461.

16434880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×16434880² = 540210561228800, which contains 22 as substring.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (16434881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566706 + ... + 566734.

Almost surely, 2^16434880 is an apocalyptic number.

16434880 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 16434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26334720).

16434880 is an abundant number, since it is smaller than the sum of its proper divisors (36234560).

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

16434880 is a wasteful number, since it uses less digits than its factorization.

16434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 16434880 is about 4053.9955599384. The cubic root of 16434880 is about 254.2468099264.

The spelling of 16434880 in words is "sixteen million, four hundred thirty-four thousand, eight hundred eighty".