16061600 has 72 divisors (see below), whose sum is σ = 41552028. Its totient is φ = 6041600.

The previous prime is 16061599. The next prime is 16061603. The reversal of 16061600 is 616061.

It can be written as a sum of positive squares in 6 ways, for example, as 11916304 + 4145296 = 3452^2 + 2036^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (16061603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13010 + ... + 14190.

Almost surely, 2^16061600 is an apocalyptic number.

16061600 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 16061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20776014).

16061600 is an abundant number, since it is smaller than the sum of its proper divisors (25490428).

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

16061600 is a wasteful number, since it uses less digits than its factorization.

16061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 16061600 is about 4007.6926029824. The cubic root of 16061600 is about 252.3071755965.

Adding to 16061600 its reverse (616061), we get a palindrome (16677661).

It can be divided in two parts, 16061 and 600, that added together give a palindrome (16661).

The spelling of 16061600 in words is "sixteen million, sixty-one thousand, six hundred".