54177768 has 64 divisors (see below), whose sum is σ = 154584000. Its totient is φ = 17568576.

The previous prime is 54177727. The next prime is 54177791. The reversal of 54177768 is 86777145.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4603 + ... + 11381.

It is an arithmetic number, because the mean of its divisors is an integer number (2415375).

Almost surely, 2^54177768 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 54177768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77292000).

54177768 is an abundant number, since it is smaller than the sum of its proper divisors (100406232).

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

54177768 is a wasteful number, since it uses less digits than its factorization.

54177768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6831 (or 6821 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The square root of 54177768 is about 7360.5548703885. The cubic root of 54177768 is about 378.3906266721.

It can be divided in two parts, 54177 and 768, that added together give a palindrome (54945).

The spelling of 54177768 in words is "fifty-four million, one hundred seventy-seven thousand, seven hundred sixty-eight".