16968000 has 224 divisors, whose sum is σ = 64666368. Its totient is φ = 3840000.

The previous prime is 16967963. The next prime is 16968001. The reversal of 16968000 is 86961.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16968001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167950 + ... + 168050.

Almost surely, 2^16968000 is an apocalyptic number.

16968000 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 16968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32333184).

16968000 is an abundant number, since it is smaller than the sum of its proper divisors (47698368).

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

16968000 is a wasteful number, since it uses less digits than its factorization.

16968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 16968000 is about 4119.2232277457. The cubic root of 16968000 is about 256.9667224143.

The spelling of 16968000 in words is "sixteen million, nine hundred sixty-eight thousand".