16948000 has 96 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 6393600.

The previous prime is 16947971. The next prime is 16948007. The reversal of 16948000 is 84961.

It is a self number, because there is not a number n which added to its sum of digits gives 16948000.

It is not an unprimeable number, because it can be changed into a prime (16948007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75889 + ... + 76111.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^16948000 is an apocalyptic number.

16948000 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 16948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

16948000 is an abundant number, since it is smaller than the sum of its proper divisors (27081440).

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

16948000 is a wasteful number, since it uses less digits than its factorization.

16948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 16948000 is about 4116.7948697986. The cubic root of 16948000 is about 256.8657214125.

The spelling of 16948000 in words is "sixteen million, nine hundred forty-eight thousand".