51437568 has 224 divisors, whose sum is σ = 176150016. Its totient is φ = 12976128.

The previous prime is 51437549. The next prime is 51437569. The reversal of 51437568 is 86573415.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (100800) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51437569) 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, 2236405 + ... + 2236427.

It is an arithmetic number, because the mean of its divisors is an integer number (786384).

Almost surely, 2^51437568 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 51437568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88075008).

51437568 is an abundant number, since it is smaller than the sum of its proper divisors (124712448).

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

51437568 is a wasteful number, since it uses less digits than its factorization.

51437568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 51437568 is about 7171.9988845509. The cubic root of 51437568 is about 371.9005399496.

The spelling of 51437568 in words is "fifty-one million, four hundred thirty-seven thousand, five hundred sixty-eight".