16457120 has 48 divisors (see below), whose sum is σ = 39440520. Its totient is φ = 6488064.

The previous prime is 16457087. The next prime is 16457131. The reversal of 16457120 is 2175461.

It can be written as a sum of positive squares in 4 ways, for example, as 8549776 + 7907344 = 2924^2 + 2812^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16457120.

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 7 ways as a sum of consecutive naturals, for example, 10976 + ... + 12384.

Almost surely, 2^16457120 is an apocalyptic number.

16457120 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 16457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19720260).

16457120 is an abundant number, since it is smaller than the sum of its proper divisors (22983400).

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

16457120 is a wasteful number, since it uses less digits than its factorization.

16457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 16457120 is about 4056.7376055151. The cubic root of 16457120 is about 254.3614421476.

The spelling of 16457120 in words is "sixteen million, four hundred fifty-seven thousand, one hundred twenty".