53619840 has 256 divisors, whose sum is σ = 198288000. Its totient is φ = 13676544.

The previous prime is 53619833. The next prime is 53619847. The reversal of 53619840 is 4891635.

It is an interprime number because it is at equal distance from previous prime (53619833) and next prime (53619847).

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

It is a junction number, because it is equal to n+sod(n) for n = 53619795 and 53619804.

It is not an unprimeable number, because it can be changed into a prime (53619847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501067 + ... + 501173.

Almost surely, 2^53619840 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 53619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99144000).

53619840 is an abundant number, since it is smaller than the sum of its proper divisors (144668160).

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

53619840 is a wasteful number, since it uses less digits than its factorization.

53619840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 53619840 is about 7322.5569304718. The cubic root of 53619840 is about 377.0872409134.

The spelling of 53619840 in words is "fifty-three million, six hundred nineteen thousand, eight hundred forty".