53857600 has 84 divisors (see below), whose sum is σ = 135920988. Its totient is φ = 20992000.

The previous prime is 53857579. The next prime is 53857613. The reversal of 53857600 is 675835.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14318656 + 39538944 = 3784^2 + 6288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65190 + ... + 66010.

It is an arithmetic number, because the mean of its divisors is an integer number (1618107).

Almost surely, 2^53857600 is an apocalyptic number.

53857600 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 53857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67960494).

53857600 is an abundant number, since it is smaller than the sum of its proper divisors (82063388).

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

53857600 is a wasteful number, since it uses less digits than its factorization.

53857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 53857600 is about 7338.7737395290. The cubic root of 53857600 is about 377.6437766444.

The spelling of 53857600 in words is "fifty-three million, eight hundred fifty-seven thousand, six hundred".