16082640 has 120 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 3674880.

The previous prime is 16082639. The next prime is 16082659. The reversal of 16082640 is 4628061.

16082640 is a `hidden beast` number, since 16 + 0 + 8 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3445 + ... + 6635.

Almost surely, 2^16082640 is an apocalyptic number.

16082640 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 16082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

16082640 is an abundant number, since it is smaller than the sum of its proper divisors (45663408).

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

16082640 is a wasteful number, since it uses less digits than its factorization.

16082640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3208 counting only the distinct ones).

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

The square root of 16082640 is about 4010.3166957237. The cubic root of 16082640 is about 252.4172980142.

The spelling of 16082640 in words is "sixteen million, eighty-two thousand, six hundred forty".