16132896 has 144 divisors (see below), whose sum is σ = 51367680. Its totient is φ = 4769280.

The previous prime is 16132877. The next prime is 16132931. The reversal of 16132896 is 69823161.

It is a tau number, because it is divible by the number of its divisors (144).

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 a self number, because there is not a number n which added to its sum of digits gives 16132896.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 115995 + ... + 116133.

It is an arithmetic number, because the mean of its divisors is an integer number (356720).

Almost surely, 2^16132896 is an apocalyptic number.

16132896 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 16132896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25683840).

16132896 is an abundant number, since it is smaller than the sum of its proper divisors (35234784).

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

16132896 is a wasteful number, since it uses less digits than its factorization.

16132896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 16132896 is about 4016.5776476996. The cubic root of 16132896 is about 252.6799475371.

The spelling of 16132896 in words is "sixteen million, one hundred thirty-two thousand, eight hundred ninety-six".