16288416 has 72 divisors (see below), whose sum is σ = 48353760. Its totient is φ = 5191296.

The previous prime is 16288387. The next prime is 16288429. The reversal of 16288416 is 61488261.

16288416 is a `hidden beast` number, since 162 + 88 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5395 + ... + 7853.

It is an arithmetic number, because the mean of its divisors is an integer number (671580).

Almost surely, 2^16288416 is an apocalyptic number.

16288416 is a gapful number since it is divisible by the number (16) 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 16288416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24176880).

16288416 is an abundant number, since it is smaller than the sum of its proper divisors (32065344).

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

16288416 is a wasteful number, since it uses less digits than its factorization.

16288416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2487 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 16288416 is about 4035.8909796970. The cubic root of 16288416 is about 253.4892914725.

The spelling of 16288416 in words is "sixteen million, two hundred eighty-eight thousand, four hundred sixteen".