16071120 has 240 divisors, whose sum is σ = 62152272. Its totient is φ = 3686400.

The previous prime is 16071109. The next prime is 16071149. The reversal of 16071120 is 2117061.

It can be written as a sum of positive squares in 8 ways, for example, as 484416 + 15586704 = 696^2 + 3948^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16071093 and 16071102.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 159070 + ... + 159170.

Almost surely, 2^16071120 is an apocalyptic number.

16071120 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 16071120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31076136).

16071120 is an abundant number, since it is smaller than the sum of its proper divisors (46081152).

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

16071120 is a wasteful number, since it uses less digits than its factorization.

16071120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 16071120 is about 4008.8801428828. The cubic root of 16071120 is about 252.3570147554.

Adding to 16071120 its reverse (2117061), we get a palindrome (18188181).

The spelling of 16071120 in words is "sixteen million, seventy-one thousand, one hundred twenty".