56623200 has 72 divisors (see below), whose sum is σ = 184316328. Its totient is φ = 15098880.

The previous prime is 56623183. The next prime is 56623201. The reversal of 56623200 is 232665.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56623201) 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, 9397 + ... + 14196.

It is an arithmetic number, because the mean of its divisors is an integer number (2559949).

Almost surely, 2^56623200 is an apocalyptic number.

56623200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56623200 is an abundant number, since it is smaller than the sum of its proper divisors (127693128).

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

56623200 is a wasteful number, since it uses less digits than its factorization.

56623200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23616 (or 23603 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 56623200 is about 7524.8388687068. The cubic root of 56623200 is about 384.0002170138. Note that the first 3 decimals are identical.

Adding to 56623200 its reverse (232665), we get a palindrome (56855865).

The spelling of 56623200 in words is "fifty-six million, six hundred twenty-three thousand, two hundred".