16045120 has 224 divisors, whose sum is σ = 51206400. Its totient is φ = 4644864.

The previous prime is 16045111. The next prime is 16045121. The reversal of 16045120 is 2154061.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (16045121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553266 + ... + 553294.

It is an arithmetic number, because the mean of its divisors is an integer number (228600).

Almost surely, 2^16045120 is an apocalyptic number.

16045120 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 16045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25603200).

16045120 is an abundant number, since it is smaller than the sum of its proper divisors (35161280).

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

16045120 is a wasteful number, since it uses less digits than its factorization.

16045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 16045120 is about 4005.6360293966. The cubic root of 16045120 is about 252.2208528313.

Adding to 16045120 its reverse (2154061), we get a palindrome (18199181).

It can be divided in two parts, 1604 and 5120, that added together give a square (6724 = 82²).

The spelling of 16045120 in words is "sixteen million, forty-five thousand, one hundred twenty".