54038880 has 192 divisors, whose sum is σ = 216276480. Its totient is φ = 12344832.

The previous prime is 54038851. The next prime is 54038909. The reversal of 54038880 is 8883045.

54038880 is a `hidden beast` number, since 540 + 38 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (54038851) and next prime (54038909).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29347 + ... + 31133.

It is an arithmetic number, because the mean of its divisors is an integer number (1126440).

Almost surely, 2^54038880 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 54038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108138240).

54038880 is an abundant number, since it is smaller than the sum of its proper divisors (162237600).

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

54038880 is a wasteful number, since it uses less digits than its factorization.

54038880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 54038880 is about 7351.1142012623. The cubic root of 54038880 is about 378.0670075213.

The spelling of 54038880 in words is "fifty-four million, thirty-eight thousand, eight hundred eighty".