16130688 has 128 divisors (see below), whose sum is σ = 51995520. Its totient is φ = 4325376.

The previous prime is 16130687. The next prime is 16130689. The reversal of 16130688 is 88603161.

It is an interprime number because it is at equal distance from previous prime (16130687) and next prime (16130689).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16130683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45520 + ... + 45872.

It is an arithmetic number, because the mean of its divisors is an integer number (406215).

Almost surely, 2^16130688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25997760).

16130688 is an abundant number, since it is smaller than the sum of its proper divisors (35864832).

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

16130688 is a wasteful number, since it uses less digits than its factorization.

16130688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 16130688 is about 4016.3027774310. The cubic root of 16130688 is about 252.6684194812.

The spelling of 16130688 in words is "sixteen million, one hundred thirty thousand, six hundred eighty-eight".