6151200 has 144 divisors (see below), whose sum is σ = 21936096. Its totient is φ = 1484800.

The previous prime is 6151183. The next prime is 6151217. The reversal of 6151200 is 21516.

It is an interprime number because it is at equal distance from previous prime (6151183) and next prime (6151217).

It is a super-2 number, since 2×6151200² = 75674522880000, which contains 22 as substring.

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 6151200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26284 + ... + 26516.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 2^6151200 is an apocalyptic number.

6151200 is a gapful number since it is divisible by the number (60) 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 6151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968048).

6151200 is an abundant number, since it is smaller than the sum of its proper divisors (15784896).

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

6151200 is a wasteful number, since it uses less digits than its factorization.

6151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

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

The square root of 6151200 is about 2480.1612850780. The cubic root of 6151200 is about 183.2257955197.

Adding to 6151200 its reverse (21516), we get a palindrome (6172716).

The spelling of 6151200 in words is "six million, one hundred fifty-one thousand, two hundred".