51760120 has 64 divisors (see below), whose sum is σ = 122757120. Its totient is φ = 19603584.

The previous prime is 51760117. The next prime is 51760129. The reversal of 51760120 is 2106715.

It is a super-2 number, since 2×51760120² = 5358220044828800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51760091 and 51760100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51760129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116619 + ... + 117061.

It is an arithmetic number, because the mean of its divisors is an integer number (1918080).

Almost surely, 2^51760120 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 51760120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61378560).

51760120 is an abundant number, since it is smaller than the sum of its proper divisors (70997000).

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

51760120 is a wasteful number, since it uses less digits than its factorization.

51760120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 51760120 is about 7194.4506392080. The cubic root of 51760120 is about 372.6762854921.

Adding to 51760120 its reverse (2106715), we get a palindrome (53866835).

The spelling of 51760120 in words is "fifty-one million, seven hundred sixty thousand, one hundred twenty".