53829360 has 280 divisors, whose sum is σ = 204924384. Its totient is φ = 13063680.

The previous prime is 53829343. The next prime is 53829403. The reversal of 53829360 is 6392835.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 758125 + ... + 758195.

Almost surely, 2^53829360 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 53829360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102462192).

53829360 is an abundant number, since it is smaller than the sum of its proper divisors (151095024).

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

53829360 is a wasteful number, since it uses less digits than its factorization.

53829360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 53829360 is about 7336.8494600884. The cubic root of 53829360 is about 377.5777598100.

The spelling of 53829360 in words is "fifty-three million, eight hundred twenty-nine thousand, three hundred sixty".