16749920 has 96 divisors (see below), whose sum is σ = 44706816. Its totient is φ = 5875200.

The previous prime is 16749899. The next prime is 16749949. The reversal of 16749920 is 2994761.

16749920 = T₁₀₂₄ + T₁₀₂₅ + ... + T₁₀₅₄.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54407 + ... + 54713.

It is an arithmetic number, because the mean of its divisors is an integer number (465696).

Almost surely, 2^16749920 is an apocalyptic number.

16749920 is a gapful number since it is divisible by the number (10) 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 16749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353408).

16749920 is an abundant number, since it is smaller than the sum of its proper divisors (27956896).

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

16749920 is a wasteful number, since it uses less digits than its factorization.

16749920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 16749920 is about 4092.6666123690. Note that the first 4 decimals coincide. The cubic root of 16749920 is about 255.8610900033.

The spelling of 16749920 in words is "sixteen million, seven hundred forty-nine thousand, nine hundred twenty".