6016400 has 90 divisors (see below), whose sum is σ = 15827670. Its totient is φ = 2196480.

The previous prime is 6016391. The next prime is 6016429. The reversal of 6016400 is 46106.

It can be written as a sum of positive squares in 9 ways, for example, as 4734976 + 1281424 = 2176^2 + 1132^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67556 + ... + 67644.

It is an arithmetic number, because the mean of its divisors is an integer number (175863).

Almost surely, 2^6016400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913835).

6016400 is an abundant number, since it is smaller than the sum of its proper divisors (9811270).

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

6016400 is a wasteful number, since it uses less digits than its factorization.

6016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 6016400 is about 2452.8350943347. The cubic root of 6016400 is about 181.8774685446.

The spelling of 6016400 in words is "six million, sixteen thousand, four hundred".