53657838 has 72 divisors (see below), whose sum is σ = 130178880. Its totient is φ = 15949440.

The previous prime is 53657819. The next prime is 53657861. The reversal of 53657838 is 83875635.

53657838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53657793 and 53657802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94018 + ... + 94586.

It is an arithmetic number, because the mean of its divisors is an integer number (1808040).

Almost surely, 2^53657838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53657838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65089440).

53657838 is an abundant number, since it is smaller than the sum of its proper divisors (76521042).

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

53657838 is a wasteful number, since it uses less digits than its factorization.

53657838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 618 counting only the distinct ones).

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

The square root of 53657838 is about 7325.1510564629. The cubic root of 53657838 is about 377.1762948757.

It can be divided in two parts, 5365 and 7838, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 53657838 in words is "fifty-three million, six hundred fifty-seven thousand, eight hundred thirty-eight".