53746800 has 60 divisors (see below), whose sum is σ = 172172760. Its totient is φ = 14332160.

The previous prime is 53746769. The next prime is 53746813. The reversal of 53746800 is 864735.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 21195 + ... + 23594.

It is an arithmetic number, because the mean of its divisors is an integer number (2869546).

Almost surely, 2^53746800 is an apocalyptic number.

53746800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53746800 is an abundant number, since it is smaller than the sum of its proper divisors (118425960).

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

53746800 is a wasteful number, since it uses less digits than its factorization.

53746800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44810 (or 44799 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 53746800 is about 7331.2209078707. The cubic root of 53746800 is about 377.3846262338.

The spelling of 53746800 in words is "fifty-three million, seven hundred forty-six thousand, eight hundred".