53285940 has 144 divisors (see below), whose sum is σ = 172238976. Its totient is φ = 13305600.

The previous prime is 53285933. The next prime is 53285959. The reversal of 53285940 is 4958235.

53285940 is a `hidden beast` number, since 532 + 85 + 9 + 40 = 666.

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 = 53285895 and 53285904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252435 + ... + 252645.

It is an arithmetic number, because the mean of its divisors is an integer number (1196104).

Almost surely, 2^53285940 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 53285940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86119488).

53285940 is an abundant number, since it is smaller than the sum of its proper divisors (118953036).

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

53285940 is a wasteful number, since it uses less digits than its factorization.

53285940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 53285940 is about 7299.7219125115. The cubic root of 53285940 is about 376.3028814242.

The spelling of 53285940 in words is "fifty-three million, two hundred eighty-five thousand, nine hundred forty".