51124320 has 144 divisors (see below), whose sum is σ = 187950672. Its totient is φ = 12579840.

The previous prime is 51124319. The next prime is 51124327. The reversal of 51124320 is 2342115.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×51124320² = 5227392190924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 51124293 and 51124302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51124327) 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, 17355 + ... + 20085.

It is an arithmetic number, because the mean of its divisors is an integer number (1305213).

Almost surely, 2^51124320 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 51124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93975336).

51124320 is an abundant number, since it is smaller than the sum of its proper divisors (136826352).

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

51124320 is a wasteful number, since it uses less digits than its factorization.

51124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 51124320 is about 7150.1272715945. The cubic root of 51124320 is about 371.1440605111.

Adding to 51124320 its reverse (2342115), we get a palindrome (53466435).

The spelling of 51124320 in words is "fifty-one million, one hundred twenty-four thousand, three hundred twenty".