16825248 has 144 divisors (see below), whose sum is σ = 53778816. Its totient is φ = 4945920.

The previous prime is 16825243. The next prime is 16825261. The reversal of 16825248 is 84252861.

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 not an unprimeable number, because it can be changed into a prime (16825243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148840 + ... + 148952.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 2^16825248 is an apocalyptic number.

16825248 is a gapful number since it is divisible by the number (18) 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 16825248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889408).

16825248 is an abundant number, since it is smaller than the sum of its proper divisors (36953568).

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

16825248 is a wasteful number, since it uses less digits than its factorization.

16825248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 176 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 16825248 is about 4101.8590907051. The cubic root of 16825248 is about 256.2440706143.

The spelling of 16825248 in words is "sixteen million, eight hundred twenty-five thousand, two hundred forty-eight".