16745616 has 120 divisors (see below), whose sum is σ = 50100960. Its totient is φ = 5412096.

The previous prime is 16745609. The next prime is 16745627. The reversal of 16745616 is 61654761.

16745616 = 18³ + 19³ + ... + 90³.

16745616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an alternating number because its digits alternate between odd and even.

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, 229356 + ... + 229428.

It is an arithmetic number, because the mean of its divisors is an integer number (417508).

Almost surely, 2^16745616 is an apocalyptic number.

16745616 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 16745616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25050480).

16745616 is an abundant number, since it is smaller than the sum of its proper divisors (33355344).

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

16745616 is an equidigital number, since it uses as much as digits as its factorization.

16745616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 16745616 is about 4092.1407600424. The cubic root of 16745616 is about 255.8391730734.

The spelling of 16745616 in words is "sixteen million, seven hundred forty-five thousand, six hundred sixteen".