54001600 has 42 divisors (see below), whose sum is σ = 132881624. Its totient is φ = 21600000.

The previous prime is 54001589. The next prime is 54001603. The reversal of 54001600 is 610045.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54001603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15276 + ... + 18475.

Almost surely, 2^54001600 is an apocalyptic number.

54001600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54001600 is an abundant number, since it is smaller than the sum of its proper divisors (78880024).

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

54001600 is a wasteful number, since it uses less digits than its factorization.

54001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33773 (or 33758 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 54001600 is about 7348.5780937539. The cubic root of 54001600 is about 377.9800480310.

Adding to 54001600 its reverse (610045), we get a palindrome (54611645).

The spelling of 54001600 in words is "fifty-four million, one thousand, six hundred".