54913600 has 84 divisors (see below), whose sum is σ = 154456384. Its totient is φ = 18823680.

The previous prime is 54913597. The next prime is 54913609. The reversal of 54913600 is 631945.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54913609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8749 + ... + 13651.

Almost surely, 2^54913600 is an apocalyptic number.

54913600 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 54913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77228192).

54913600 is an abundant number, since it is smaller than the sum of its proper divisors (99542784).

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

54913600 is a wasteful number, since it uses less digits than its factorization.

54913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 54913600 is about 7410.3711108149. The cubic root of 54913600 is about 380.0960052902.

The spelling of 54913600 in words is "fifty-four million, nine hundred thirteen thousand, six hundred".