16457680 has 20 divisors (see below), whose sum is σ = 38264292. Its totient is φ = 6583040.

The previous prime is 16457677. The next prime is 16457681. The reversal of 16457680 is 8675461.

It can be written as a sum of positive squares in 2 ways, for example, as 8928144 + 7529536 = 2988^2 + 2744^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16457681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102781 + ... + 102940.

Almost surely, 2^16457680 is an apocalyptic number.

16457680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16457680 is an abundant number, since it is smaller than the sum of its proper divisors (21806612).

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

16457680 is a wasteful number, since it uses less digits than its factorization.

16457680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205734 (or 205728 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 16457680 is about 4056.8066259066. The cubic root of 16457680 is about 254.3643272371.

The spelling of 16457680 in words is "sixteen million, four hundred fifty-seven thousand, six hundred eighty".