53835840 has 280 divisors, whose sum is σ = 200631552. Its totient is φ = 13685760.

The previous prime is 53835823. The next prime is 53835841. The reversal of 53835840 is 4853835.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53835795 and 53835804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53835841) 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 39 ways as a sum of consecutive naturals, for example, 803487 + ... + 803553.

Almost surely, 2^53835840 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 53835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100315776).

53835840 is an abundant number, since it is smaller than the sum of its proper divisors (146795712).

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

53835840 is a wasteful number, since it uses less digits than its factorization.

53835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 53835840 is about 7337.2910532430. The cubic root of 53835840 is about 377.5929101896.

Adding to 53835840 its sum of digits (36), we get a triangular number (53835876 = T₁₀₃₇₆).

The spelling of 53835840 in words is "fifty-three million, eight hundred thirty-five thousand, eight hundred forty".