56123400 has 96 divisors (see below), whose sum is σ = 176104800. Its totient is φ = 14784000.

The previous prime is 56123387. The next prime is 56123407. The reversal of 56123400 is 432165.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56123407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52875 + ... + 53925.

It is an arithmetic number, because the mean of its divisors is an integer number (1834425).

Almost surely, 2^56123400 is an apocalyptic number.

56123400 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 56123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88052400).

56123400 is an abundant number, since it is smaller than the sum of its proper divisors (119981400).

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

56123400 is a wasteful number, since it uses less digits than its factorization.

56123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 56123400 is about 7491.5552457417. Note that the first 3 decimals coincide. The cubic root of 56123400 is about 382.8670490918.

Adding to 56123400 its reverse (432165), we get a palindrome (56555565).

The spelling of 56123400 in words is "fifty-six million, one hundred twenty-three thousand, four hundred".