16642320 has 80 divisors (see below), whose sum is σ = 54639360. Its totient is φ = 4175872.

The previous prime is 16642313. The next prime is 16642343. The reversal of 16642320 is 2324661.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2041 + ... + 6119.

It is an arithmetic number, because the mean of its divisors is an integer number (682992).

Almost surely, 2^16642320 is an apocalyptic number.

16642320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 4079×4080.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16642320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27319680).

16642320 is an abundant number, since it is smaller than the sum of its proper divisors (37997040).

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

16642320 is a wasteful number, since it uses less digits than its factorization.

16642320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 16642320 is about 4079.4999693590. The cubic root of 16642320 is about 255.3120363149.

Adding to 16642320 its reverse (2324661), we get a palindrome (18966981).

It can be divided in two parts, 166 and 42320, that added together give a triangular number (42486 = T₂₉₁).

The spelling of 16642320 in words is "sixteen million, six hundred forty-two thousand, three hundred twenty".