56061600 has 288 divisors, whose sum is σ = 215986176. Its totient is φ = 12364800.

The previous prime is 56061589. The next prime is 56061601. The reversal of 56061600 is 616065.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (56061601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789565 + ... + 789635.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 2^56061600 is an apocalyptic number.

56061600 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 56061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

56061600 is an abundant number, since it is smaller than the sum of its proper divisors (159924576).

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

56061600 is a wasteful number, since it uses less digits than its factorization.

56061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56061600 is about 7487.4294654441. The cubic root of 56061600 is about 382.7264667694.

Adding to 56061600 its reverse (616065), we get a palindrome (56677665).

The spelling of 56061600 in words is "fifty-six million, sixty-one thousand, six hundred".