16051200 has 264 divisors, whose sum is σ = 60918720. Its totient is φ = 3686400.

The previous prime is 16051193. The next prime is 16051201. The reversal of 16051200 is 215061.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 16051200.

It is not an unprimeable number, because it can be changed into a prime (16051201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844791 + ... + 844809.

Almost surely, 2^16051200 is an apocalyptic number.

16051200 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 16051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30459360).

16051200 is an abundant number, since it is smaller than the sum of its proper divisors (44867520).

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

16051200 is a wasteful number, since it uses less digits than its factorization.

16051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 16051200 is about 4006.3948881757. The cubic root of 16051200 is about 252.2527069429.

Adding to 16051200 its reverse (215061), we get a palindrome (16266261).

It can be divided in two parts, 160 and 51200, that added together give a triangular number (51360 = T₃₂₀).

The spelling of 16051200 in words is "sixteen million, fifty-one thousand, two hundred".