54010768 has 80 divisors (see below), whose sum is σ = 133384320. Its totient is φ = 20625408.

The previous prime is 54010757. The next prime is 54010769. The reversal of 54010768 is 86701045.

It is not an unprimeable number, because it can be changed into a prime (54010769) 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, 35430 + ... + 36922.

It is an arithmetic number, because the mean of its divisors is an integer number (1667304).

Almost surely, 2^54010768 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 54010768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66692160).

54010768 is an abundant number, since it is smaller than the sum of its proper divisors (79373552).

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

54010768 is a wasteful number, since it uses less digits than its factorization.

54010768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 54010768 is about 7349.2018614269. The cubic root of 54010768 is about 378.0014370577.

The spelling of 54010768 in words is "fifty-four million, ten thousand, seven hundred sixty-eight".