54591768 has 192 divisors, whose sum is σ = 189446400. Its totient is φ = 13789440.

The previous prime is 54591763. The next prime is 54591773. The reversal of 54591768 is 86719545.

54591768 is a `hidden beast` number, since 54 + 591 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (54591763) and next prime (54591773).

It is a super-2 number, since 2×54591768² = 5960522266731648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54591763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238278 + ... + 238506.

It is an arithmetic number, because the mean of its divisors is an integer number (986700).

Almost surely, 2^54591768 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 54591768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94723200).

54591768 is an abundant number, since it is smaller than the sum of its proper divisors (134854632).

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

54591768 is a wasteful number, since it uses less digits than its factorization.

54591768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 295 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 54591768 is about 7388.6242291783. The cubic root of 54591768 is about 379.3520073694.

It can be divided in two parts, 5459 and 1768, that added together give a palindrome (7227).

The spelling of 54591768 in words is "fifty-four million, five hundred ninety-one thousand, seven hundred sixty-eight".