16407680 has 64 divisors (see below), whose sum is σ = 40538880. Its totient is φ = 6343680.

The previous prime is 16407673. The next prime is 16407683. The reversal of 16407680 is 8670461.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (16407683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19427 + ... + 20253.

It is an arithmetic number, because the mean of its divisors is an integer number (633420).

Almost surely, 2^16407680 is an apocalyptic number.

16407680 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 16407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20269440).

16407680 is an abundant number, since it is smaller than the sum of its proper divisors (24131200).

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

16407680 is an equidigital number, since it uses as much as digits as its factorization.

16407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 16407680 is about 4050.6394556909. The cubic root of 16407680 is about 254.1064715761.

The spelling of 16407680 in words is "sixteen million, four hundred seven thousand, six hundred eighty".