16894080 has 192 divisors, whose sum is σ = 66830400. Its totient is φ = 3852288.

The previous prime is 16894079. The next prime is 16894081. The reversal of 16894080 is 8049861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16894079) and next prime (16894081).

It is a tau number, because it is divible by the number of its divisors (192).

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 (16894081) 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, 40111 + ... + 40529.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 2^16894080 is an apocalyptic number.

16894080 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 16894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415200).

16894080 is an abundant number, since it is smaller than the sum of its proper divisors (49936320).

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

16894080 is a wasteful number, since it uses less digits than its factorization.

16894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 16894080 is about 4110.2408688543. The cubic root of 16894080 is about 256.5930262305.

The spelling of 16894080 in words is "sixteen million, eight hundred ninety-four thousand, eighty".