53932320 has 288 divisors, whose sum is σ = 205837632. Its totient is φ = 12773376.

The previous prime is 53932303. The next prime is 53932331. The reversal of 53932320 is 2323935.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804927 + ... + 804993.

It is an arithmetic number, because the mean of its divisors is an integer number (714714).

Almost surely, 2^53932320 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 53932320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102918816).

53932320 is an abundant number, since it is smaller than the sum of its proper divisors (151905312).

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

53932320 is a wasteful number, since it uses less digits than its factorization.

53932320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 53932320 is about 7343.8627438154. The cubic root of 53932320 is about 377.8183388462.

The spelling of 53932320 in words is "fifty-three million, nine hundred thirty-two thousand, three hundred twenty".