53742336 has 144 divisors (see below), whose sum is σ = 156979200. Its totient is φ = 16257024.

The previous prime is 53742239. The next prime is 53742343. The reversal of 53742336 is 63324735.

Its product of digits (45360) is a multiple of the sum of its prime divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 53742297 and 53742306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423105 + ... + 423231.

Almost surely, 2^53742336 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 53742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78489600).

53742336 is an abundant number, since it is smaller than the sum of its proper divisors (103236864).

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

53742336 is a wasteful number, since it uses less digits than its factorization.

53742336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its digits is 45360, while the sum is 33.

The square root of 53742336 is about 7330.9164502128. The cubic root of 53742336 is about 377.3741779119.

The spelling of 53742336 in words is "fifty-three million, seven hundred forty-two thousand, three hundred thirty-six".