16461120 has 112 divisors (see below), whose sum is σ = 56327040. Its totient is φ = 4048896.

The previous prime is 16461113. The next prime is 16461121. The reversal of 16461120 is 2116461.

16461120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×16461120³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16461121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11821 + ... + 13139.

It is an arithmetic number, because the mean of its divisors is an integer number (502920).

Almost surely, 2^16461120 is an apocalyptic number.

16461120 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 16461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28163520).

16461120 is an abundant number, since it is smaller than the sum of its proper divisors (39865920).

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

16461120 is a wasteful number, since it uses less digits than its factorization.

16461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 16461120 is about 4057.2305825526. The cubic root of 16461120 is about 254.3820484940.

Adding to 16461120 its reverse (2116461), we get a palindrome (18577581).

The spelling of 16461120 in words is "sixteen million, four hundred sixty-one thousand, one hundred twenty".