16648000 has 56 divisors (see below), whose sum is σ = 41248584. Its totient is φ = 6656000.

The previous prime is 16647997. The next prime is 16648003. The reversal of 16648000 is 84661.

It is an interprime number because it is at equal distance from previous prime (16647997) and next prime (16648003).

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 15429184 = 1104^2 + 3928^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16648003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6960 + ... + 9040.

Almost surely, 2^16648000 is an apocalyptic number.

16648000 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 16648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624292).

16648000 is an abundant number, since it is smaller than the sum of its proper divisors (24600584).

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

16648000 is an equidigital number, since it uses as much as digits as its factorization.

16648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 16648000 is about 4080.1960737200. The cubic root of 16648000 is about 255.3410788886.

The spelling of 16648000 in words is "sixteen million, six hundred forty-eight thousand".