51844320 has 192 divisors, whose sum is σ = 198132480. Its totient is φ = 12556800.

The previous prime is 51844313. The next prime is 51844343. The reversal of 51844320 is 2344815.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 46975 + ... + 48065.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^51844320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51844320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

51844320 is an abundant number, since it is smaller than the sum of its proper divisors (146288160).

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

51844320 is a wasteful number, since it uses less digits than its factorization.

51844320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 51844320 is about 7200.2999937503. The cubic root of 51844320 is about 372.8782578685.

The spelling of 51844320 in words is "fifty-one million, eight hundred forty-four thousand, three hundred twenty".