51588168 has 64 divisors (see below), whose sum is σ = 133660800. Its totient is φ = 16581120.

The previous prime is 51588161. The next prime is 51588169. The reversal of 51588168 is 86188515.

It is a happy number.

It is a super-2 number, since 2×51588168² = 5322678155192448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51588161) 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, 101098 + ... + 101606.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^51588168 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 51588168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

51588168 is an abundant number, since it is smaller than the sum of its proper divisors (82072632).

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

51588168 is a wasteful number, since it uses less digits than its factorization.

51588168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its digits is 76800, while the sum is 42.

The square root of 51588168 is about 7182.4903759072. The cubic root of 51588168 is about 372.2631390612.

The spelling of 51588168 in words is "fifty-one million, five hundred eighty-eight thousand, one hundred sixty-eight".