6261600 has 72 divisors (see below), whose sum is σ = 20389320. Its totient is φ = 1669120.

The previous prime is 6261587. The next prime is 6261601. The reversal of 6261600 is 61626.

6261600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6261601) 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, 1096 + ... + 3704.

It is an arithmetic number, because the mean of its divisors is an integer number (283185).

Almost surely, 2^6261600 is an apocalyptic number.

6261600 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 6261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10194660).

6261600 is an abundant number, since it is smaller than the sum of its proper divisors (14127720).

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

6261600 is a wasteful number, since it uses less digits than its factorization.

6261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 6261600 is about 2502.3189245178. The cubic root of 6261600 is about 184.3154638761.

The spelling of 6261600 in words is "six million, two hundred sixty-one thousand, six hundred".