16161600 has 336 divisors, whose sum is σ = 67023488. Its totient is φ = 3317760.

The previous prime is 16161589. The next prime is 16161623. The reversal of 16161600 is 616161.

16161600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×16161600² = 522394629120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436782 + ... + 436818.

Almost surely, 2^16161600 is an apocalyptic number.

16161600 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 16161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33511744).

16161600 is an abundant number, since it is smaller than the sum of its proper divisors (50861888).

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

16161600 is a wasteful number, since it uses less digits than its factorization.

16161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 16161600 is about 4020.1492509607. The cubic root of 16161600 is about 252.8297166370.

Adding to 16161600 its reverse (616161), we get a palindrome (16777761).

It can be divided in two parts, 16161 and 600, that added together give a palindrome (16761).

The spelling of 16161600 in words is "sixteen million, one hundred sixty-one thousand, six hundred".