51760040 has 64 divisors (see below), whose sum is σ = 122668560. Its totient is φ = 19630080.

The previous prime is 51760039. The next prime is 51760061. The reversal of 51760040 is 4006715.

51760040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7431076 + 44328964 = 2726^2 + 6658^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51759988 and 51760015.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60254 + ... + 61106.

Almost surely, 2^51760040 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 51760040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61334280).

51760040 is an abundant number, since it is smaller than the sum of its proper divisors (70908520).

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

51760040 is a wasteful number, since it uses less digits than its factorization.

51760040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 51760040 is about 7194.4450793651. The cubic root of 51760040 is about 372.6760934903.

Adding to 51760040 its reverse (4006715), we get a palindrome (55766755).

The spelling of 51760040 in words is "fifty-one million, seven hundred sixty thousand, forty".