53605920 has 96 divisors (see below), whose sum is σ = 174726720. Its totient is φ = 13798400.

The previous prime is 53605919. The next prime is 53605921. The reversal of 53605920 is 2950635.

It is an interprime number because it is at equal distance from previous prime (53605919) and next prime (53605921).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (53605921) 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, 11995 + ... + 15845.

It is an arithmetic number, because the mean of its divisors is an integer number (1820070).

Almost surely, 2^53605920 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 53605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87363360).

53605920 is an abundant number, since it is smaller than the sum of its proper divisors (121120800).

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

53605920 is a wasteful number, since it uses less digits than its factorization.

53605920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 53605920 is about 7321.6063811161. The cubic root of 53605920 is about 377.0546067945.

The spelling of 53605920 in words is "fifty-three million, six hundred five thousand, nine hundred twenty".