53846800 has 60 divisors (see below), whose sum is σ = 147855616. Its totient is φ = 18460800.

The previous prime is 53846791. The next prime is 53846809. The reversal of 53846800 is 864835.

It is an interprime number because it is at equal distance from previous prime (53846791) and next prime (53846809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53846809) 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, 6816 + ... + 12415.

Almost surely, 2^53846800 is an apocalyptic number.

53846800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53846800 is an abundant number, since it is smaller than the sum of its proper divisors (94008816).

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

53846800 is a wasteful number, since it uses less digits than its factorization.

53846800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19256 (or 19245 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 53846800 is about 7338.0378848845. The cubic root of 53846800 is about 377.6185321389.

The spelling of 53846800 in words is "fifty-three million, eight hundred forty-six thousand, eight hundred".