16418560 has 72 divisors (see below), whose sum is σ = 40029696. Its totient is φ = 6451200.

The previous prime is 16418533. The next prime is 16418569. The reversal of 16418560 is 6581461.

16418560 = T₂₂₅ + T₂₂₆ + ... + T₄₇₈.

It is a super-2 number, since 2×16418560² = 539138224947200, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16418569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129217 + ... + 129343.

It is an arithmetic number, because the mean of its divisors is an integer number (555968).

Almost surely, 2^16418560 is an apocalyptic number.

16418560 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 16418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20014848).

16418560 is an abundant number, since it is smaller than the sum of its proper divisors (23611136).

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

16418560 is a wasteful number, since it uses less digits than its factorization.

16418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 16418560 is about 4051.9822309581. The cubic root of 16418560 is about 254.1626255143.

It can be divided in two parts, 1641 and 8560, that added together give a palindrome (10201).

The spelling of 16418560 in words is "sixteen million, four hundred eighteen thousand, five hundred sixty".