54956600 has 24 divisors (see below), whose sum is σ = 127774560. Its totient is φ = 21982560.

The previous prime is 54956593. The next prime is 54956639. The reversal of 54956600 is 665945.

It is a happy number.

It is a congruent number.

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, 137192 + ... + 137591.

It is an arithmetic number, because the mean of its divisors is an integer number (5323940).

Almost surely, 2^54956600 is an apocalyptic number.

54956600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54956600 is an abundant number, since it is smaller than the sum of its proper divisors (72817960).

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

54956600 is a wasteful number, since it uses less digits than its factorization.

54956600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274799 (or 274790 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 54956600 is about 7413.2718822393. The cubic root of 54956600 is about 380.1951905801.

The spelling of 54956600 in words is "fifty-four million, nine hundred fifty-six thousand, six hundred".