53619832 has 64 divisors (see below), whose sum is σ = 120637440. Its totient is φ = 21859200.

The previous prime is 53619829. The next prime is 53619833. The reversal of 53619832 is 23891635.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53619791 and 53619800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53619833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116082 + ... + 116542.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 2^53619832 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 53619832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60318720).

53619832 is an abundant number, since it is smaller than the sum of its proper divisors (67017608).

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

53619832 is a wasteful number, since it uses less digits than its factorization.

53619832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 53619832 is about 7322.5563842145. The cubic root of 53619832 is about 377.0872221597.

The spelling of 53619832 in words is "fifty-three million, six hundred nineteen thousand, eight hundred thirty-two".