54789768 has 144 divisors (see below), whose sum is σ = 172208400. Its totient is φ = 15681600.

The previous prime is 54789767. The next prime is 54789781. The reversal of 54789768 is 86798745.

54789768 is a `hidden beast` number, since 547 + 8 + 97 + 6 + 8 = 666.

Its product of digits (3386880) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (54789767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165363 + ... + 165693.

Almost surely, 2^54789768 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 54789768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86104200).

54789768 is an abundant number, since it is smaller than the sum of its proper divisors (117418632).

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

54789768 is a wasteful number, since it uses less digits than its factorization.

54789768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 54789768 is about 7402.0110780787. The cubic root of 54789768 is about 379.8100805349.

The spelling of 54789768 in words is "fifty-four million, seven hundred eighty-nine thousand, seven hundred sixty-eight".