53967800 has 48 divisors (see below), whose sum is σ = 126387000. Its totient is φ = 21430400.

The previous prime is 53967787. The next prime is 53967803. The reversal of 53967800 is 876935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53967803) 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 11 ways as a sum of consecutive naturals, for example, 28895 + ... + 30705.

Almost surely, 2^53967800 is an apocalyptic number.

53967800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53967800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63193500).

53967800 is an abundant number, since it is smaller than the sum of its proper divisors (72419200).

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

53967800 is a wasteful number, since it uses less digits than its factorization.

53967800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 53967800 is about 7346.2779691487. The cubic root of 53967800 is about 377.9011714050.

The spelling of 53967800 in words is "fifty-three million, nine hundred sixty-seven thousand, eight hundred".