16780560 has 80 divisors (see below), whose sum is σ = 53835840. Its totient is φ = 4318720.

The previous prime is 16780541. The next prime is 16780567. The reversal of 16780560 is 6508761.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (16780567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5755 + ... + 8165.

It is an arithmetic number, because the mean of its divisors is an integer number (672948).

Almost surely, 2^16780560 is an apocalyptic number.

16780560 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 16780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26917920).

16780560 is an abundant number, since it is smaller than the sum of its proper divisors (37055280).

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

16780560 is a wasteful number, since it uses less digits than its factorization.

16780560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 16780560 is about 4096.4081827865. The cubic root of 16780560 is about 256.0170073336.

The spelling of 16780560 in words is "sixteen million, seven hundred eighty thousand, five hundred sixty".