54061600 has 36 divisors (see below), whose sum is σ = 131979834. Its totient is φ = 21624320.

The previous prime is 54061583. The next prime is 54061619. The reversal of 54061600 is 616045.

It can be written as a sum of positive squares in 3 ways, for example, as 38093584 + 15968016 = 6172^2 + 3996^2 .

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 5 ways as a sum of consecutive naturals, for example, 32989 + ... + 34588.

Almost surely, 2^54061600 is an apocalyptic number.

54061600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54061600 is an abundant number, since it is smaller than the sum of its proper divisors (77918234).

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

54061600 is a wasteful number, since it uses less digits than its factorization.

54061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67597 (or 67584 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 54061600 is about 7352.6593828356. The cubic root of 54061600 is about 378.1199846795.

Adding to 54061600 its reverse (616045), we get a palindrome (54677645).

The spelling of 54061600 in words is "fifty-four million, sixty-one thousand, six hundred".