56170800 has 240 divisors, whose sum is σ = 228794880. Its totient is φ = 12821760.

The previous prime is 56170789. The next prime is 56170811. The reversal of 56170800 is 807165.

It is an interprime number because it is at equal distance from previous prime (56170789) and next prime (56170811).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 75229 + ... + 75971.

It is an arithmetic number, because the mean of its divisors is an integer number (953312).

Almost surely, 2^56170800 is an apocalyptic number.

56170800 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 56170800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114397440).

56170800 is an abundant number, since it is smaller than the sum of its proper divisors (172624080).

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

56170800 is a wasteful number, since it uses less digits than its factorization.

56170800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 56170800 is about 7494.7181401304. The cubic root of 56170800 is about 382.9748044516.

Adding to 56170800 its reverse (807165), we get a palindrome (56977965).

The spelling of 56170800 in words is "fifty-six million, one hundred seventy thousand, eight hundred".