51763968 has 72 divisors (see below), whose sum is σ = 153095600. Its totient is φ = 17252352.

The previous prime is 51763949. The next prime is 51763969. The reversal of 51763968 is 86936715.

It is a happy number.

51763968 is a `hidden beast` number, since 5 + 1 + 7 + 639 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (51763969) 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, 3168 + ... + 10656.

Almost surely, 2^51763968 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 51763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76547800).

51763968 is an abundant number, since it is smaller than the sum of its proper divisors (101331632).

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

51763968 is an equidigital number, since it uses as much as digits as its factorization.

51763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514 (or 7494 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 51763968 is about 7194.7180625790. The cubic root of 51763968 is about 372.6855205481.

The spelling of 51763968 in words is "fifty-one million, seven hundred sixty-three thousand, nine hundred sixty-eight".