54038700 has 108 divisors (see below), whose sum is σ = 171403960. Its totient is φ = 14238720.

The previous prime is 54038689. The next prime is 54038723. The reversal of 54038700 is 783045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86991 + ... + 87609.

Almost surely, 2^54038700 is an apocalyptic number.

54038700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54038700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85701980).

54038700 is an abundant number, since it is smaller than the sum of its proper divisors (117365260).

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

54038700 is a wasteful number, since it uses less digits than its factorization.

54038700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 54038700 is about 7351.1019582101. The cubic root of 54038700 is about 378.0665877486.

The spelling of 54038700 in words is "fifty-four million, thirty-eight thousand, seven hundred".