16900416 has 168 divisors, whose sum is σ = 54456584. Its totient is φ = 4976640.

The previous prime is 16900369. The next prime is 16900421. The reversal of 16900416 is 61400961.

16900416 = 55³ + 56³ + ... + 93³.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 16646400 = 504^2 + 4080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16900416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277026 + ... + 277086.

Almost surely, 2^16900416 is an apocalyptic number.

16900416 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 16900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27228292).

16900416 is an abundant number, since it is smaller than the sum of its proper divisors (37556168).

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

16900416 is a wasteful number, since it uses less digits than its factorization.

16900416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 16900416 is about 4111.0115543501. The cubic root of 16900416 is about 256.6250999946.

The spelling of 16900416 in words is "sixteen million, nine hundred thousand, four hundred sixteen".