51879040 has 64 divisors (see below), whose sum is σ = 125386560. Its totient is φ = 20524032.

The previous prime is 51879011. The next prime is 51879043. The reversal of 51879040 is 4097815.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 51878987 and 51879005.

It is not an unprimeable number, because it can be changed into a prime (51879043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 65527 + ... + 66313.

It is an arithmetic number, because the mean of its divisors is an integer number (1959165).

Almost surely, 2^51879040 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 51879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62693280).

51879040 is an abundant number, since it is smaller than the sum of its proper divisors (73507520).

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

51879040 is a wasteful number, since it uses less digits than its factorization.

51879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 51879040 is about 7202.7106008780. The cubic root of 51879040 is about 372.9614778120.

The spelling of 51879040 in words is "fifty-one million, eight hundred seventy-nine thousand, forty".