16936416 has 144 divisors (see below), whose sum is σ = 57028608. Its totient is φ = 4665600.

The previous prime is 16936397. The next prime is 16936421. The reversal of 16936416 is 61463961.

16936416 is a `hidden beast` number, since 1 + 6 + 9 + 3 + 641 + 6 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62361 + ... + 62631.

It is an arithmetic number, because the mean of its divisors is an integer number (396032).

Almost surely, 2^16936416 is an apocalyptic number.

16936416 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 16936416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28514304).

16936416 is an abundant number, since it is smaller than the sum of its proper divisors (40092192).

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

16936416 is a wasteful number, since it uses less digits than its factorization.

16936416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 16936416 is about 4115.3877095603. The cubic root of 16936416 is about 256.8071852882.

It can be divided in two parts, 169 and 36416, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 16936416 in words is "sixteen million, nine hundred thirty-six thousand, four hundred sixteen".