53635848 has 128 divisors (see below), whose sum is σ = 161568000. Its totient is φ = 14515200.

The previous prime is 53635843. The next prime is 53635861. The reversal of 53635848 is 84853635.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (53635843) 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 31 ways as a sum of consecutive naturals, for example, 492018 + ... + 492126.

It is an arithmetic number, because the mean of its divisors is an integer number (1262250).

Almost surely, 2^53635848 is an apocalyptic number.

53635848 is a gapful number since it is divisible by the number (58) 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 53635848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80784000).

53635848 is an abundant number, since it is smaller than the sum of its proper divisors (107932152).

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

53635848 is a wasteful number, since it uses less digits than its factorization.

53635848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 53635848 is about 7323.6499097103. The cubic root of 53635848 is about 377.1247631684.

It can be divided in two parts, 5363 and 5848, that added together give a palindrome (11211).

The spelling of 53635848 in words is "fifty-three million, six hundred thirty-five thousand, eight hundred forty-eight".