51579168 has 96 divisors (see below), whose sum is σ = 142248960. Its totient is φ = 16343040.

The previous prime is 51579113. The next prime is 51579169. The reversal of 51579168 is 86197515.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (51579169) 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, 269953 + ... + 270143.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 2^51579168 is an apocalyptic number.

51579168 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51579168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

51579168 is an abundant number, since it is smaller than the sum of its proper divisors (90669792).

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

51579168 is a wasteful number, since it uses less digits than its factorization.

51579168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its digits is 75600, while the sum is 42.

The square root of 51579168 is about 7181.8638249413. The cubic root of 51579168 is about 372.2414896324.

It can be divided in two parts, 5157 and 9168, that multiplied together give a square (47279376 = 6876²).

The spelling of 51579168 in words is "fifty-one million, five hundred seventy-nine thousand, one hundred sixty-eight".