5061600 has 216 divisors, whose sum is σ = 19295640. Its totient is φ = 1244160.

The previous prime is 5061599. The next prime is 5061607. The reversal of 5061600 is 61605.

5061600 is a `hidden beast` number, since 5 + 0 + 61 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5061607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136782 + ... + 136818.

Almost surely, 2^5061600 is an apocalyptic number.

5061600 is a gapful number since it is divisible by the number (50) 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 5061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647820).

5061600 is an abundant number, since it is smaller than the sum of its proper divisors (14234040).

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

5061600 is a wasteful number, since it uses less digits than its factorization.

5061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5061600 is about 2249.7999911103. The cubic root of 5061600 is about 171.6969605423.

The spelling of 5061600 in words is "five million, sixty-one thousand, six hundred".