53829636 has 72 divisors (see below), whose sum is σ = 149577120. Its totient is φ = 15015168.

The previous prime is 53829631. The next prime is 53829673. The reversal of 53829636 is 63692835.

It is a super-4 number, since 4×53829636⁴ (a number of 32 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 (53829631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24220 + ... + 26348.

It is an arithmetic number, because the mean of its divisors is an integer number (2077460).

Almost surely, 2^53829636 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 53829636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74788560).

53829636 is an abundant number, since it is smaller than the sum of its proper divisors (95747484).

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

53829636 is a wasteful number, since it uses less digits than its factorization.

53829636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2184 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 53829636 is about 7336.8682692277. The cubic root of 53829636 is about 377.5784051287.

The spelling of 53829636 in words is "fifty-three million, eight hundred twenty-nine thousand, six hundred thirty-six".