53966040 has 128 divisors (see below), whose sum is σ = 170035200. Its totient is φ = 13685760.

The previous prime is 53966039. The next prime is 53966051. The reversal of 53966040 is 4066935.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 53965992 and 53966010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330999 + ... + 331161.

It is an arithmetic number, because the mean of its divisors is an integer number (1328400).

Almost surely, 2^53966040 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 53966040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85017600).

53966040 is an abundant number, since it is smaller than the sum of its proper divisors (116069160).

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

53966040 is a wasteful number, since it uses less digits than its factorization.

53966040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 53966040 is about 7346.1581796201. The cubic root of 53966040 is about 377.8970633177.

The spelling of 53966040 in words is "fifty-three million, nine hundred sixty-six thousand, forty".