51623600 has 120 divisors (see below), whose sum is σ = 143919360. Its totient is φ = 17429760.

The previous prime is 51623597. The next prime is 51623609. The reversal of 51623600 is 632615.

51623600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (51623609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288311 + ... + 288489.

It is an arithmetic number, because the mean of its divisors is an integer number (1199328).

Almost surely, 2^51623600 is an apocalyptic number.

51623600 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 51623600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71959680).

51623600 is an abundant number, since it is smaller than the sum of its proper divisors (92295760).

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

51623600 is a wasteful number, since it uses less digits than its factorization.

51623600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 51623600 is about 7184.9565064794. The cubic root of 51623600 is about 372.3483459956.

The spelling of 51623600 in words is "fifty-one million, six hundred twenty-three thousand, six hundred".