53785368 has 96 divisors (see below), whose sum is σ = 179306400. Its totient is φ = 14183424.

The previous prime is 53785357. The next prime is 53785373. The reversal of 53785368 is 86358735.

53785368 is a `hidden beast` number, since 537 + 8 + 53 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2448 + ... + 10656.

It is an arithmetic number, because the mean of its divisors is an integer number (1867775).

Almost surely, 2^53785368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53785368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89653200).

53785368 is an abundant number, since it is smaller than the sum of its proper divisors (125521032).

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

53785368 is a wasteful number, since it uses less digits than its factorization.

53785368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8241 (or 8234 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 53785368 is about 7333.8508302256. The cubic root of 53785368 is about 377.4748734062.

It can be divided in two parts, 537 and 85368, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 53785368 in words is "fifty-three million, seven hundred eighty-five thousand, three hundred sixty-eight".