54038820 has 96 divisors (see below), whose sum is σ = 169174656. Its totient is φ = 12774400.

The previous prime is 54038819. The next prime is 54038827. The reversal of 54038820 is 2883045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (54038827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26062 + ... + 28058.

It is an arithmetic number, because the mean of its divisors is an integer number (1762236).

Almost surely, 2^54038820 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 54038820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84587328).

54038820 is an abundant number, since it is smaller than the sum of its proper divisors (115135836).

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

54038820 is a wasteful number, since it uses less digits than its factorization.

54038820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 54038820 is about 7351.1101202471. The cubic root of 54038820 is about 378.0668675972.

The spelling of 54038820 in words is "fifty-four million, thirty-eight thousand, eight hundred twenty".