16642080 has 288 divisors, whose sum is σ = 70447104. Its totient is φ = 3483648.

The previous prime is 16642069. The next prime is 16642091. The reversal of 16642080 is 8024661.

16642080 is a `hidden beast` number, since 16 + 642 + 0 + 8 + 0 = 666.

16642080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16642069) and next prime (16642091).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130977 + ... + 131103.

It is an arithmetic number, because the mean of its divisors is an integer number (244608).

Almost surely, 2^16642080 is an apocalyptic number.

16642080 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 16642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223552).

16642080 is an abundant number, since it is smaller than the sum of its proper divisors (53805024).

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

16642080 is a wasteful number, since it uses less digits than its factorization.

16642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 16642080 is about 4079.4705538832. The cubic root of 16642080 is about 255.3108090184.

The spelling of 16642080 in words is "sixteen million, six hundred forty-two thousand, eighty".