54901600 has 72 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 20267520.

The previous prime is 54901597. The next prime is 54901607. The reversal of 54901600 is 610945.

54901600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54901607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7761 + ... + 13039.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 2^54901600 is an apocalyptic number.

54901600 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 54901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

54901600 is an abundant number, since it is smaller than the sum of its proper divisors (89464160).

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

54901600 is a wasteful number, since it uses less digits than its factorization.

54901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 54901600 is about 7409.5613905278. The cubic root of 54901600 is about 380.0683164339.

The spelling of 54901600 in words is "fifty-four million, nine hundred one thousand, six hundred".