16436640 has 144 divisors (see below), whose sum is σ = 57111264. Its totient is φ = 3970560.

The previous prime is 16436627. The next prime is 16436647. The reversal of 16436640 is 4663461.

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

It is a junction number, because it is equal to n+sod(n) for n = 16436598 and 16436607.

It is not an unprimeable number, because it can be changed into a prime (16436647) by changing a digit.

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, 57939 + ... + 58221.

It is an arithmetic number, because the mean of its divisors is an integer number (396606).

Almost surely, 2^16436640 is an apocalyptic number.

16436640 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 16436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28555632).

16436640 is an abundant number, since it is smaller than the sum of its proper divisors (40674624).

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

16436640 is a wasteful number, since it uses less digits than its factorization.

16436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 16436640 is about 4054.2126239259. The cubic root of 16436640 is about 254.2558853078.

The spelling of 16436640 in words is "sixteen million, four hundred thirty-six thousand, six hundred forty".