53867968 has 112 divisors (see below), whose sum is σ = 141329664. Its totient is φ = 19722240.

The previous prime is 53867959. The next prime is 53868007. The reversal of 53867968 is 86976835.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83455 + ... + 84097.

It is an arithmetic number, because the mean of its divisors is an integer number (1261872).

Almost surely, 2^53867968 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 53867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70664832).

53867968 is an abundant number, since it is smaller than the sum of its proper divisors (87461696).

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

53867968 is a wasteful number, since it uses less digits than its factorization.

53867968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 680 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 53867968 is about 7339.4800905786. The cubic root of 53867968 is about 377.6680081949.

The spelling of 53867968 in words is "fifty-three million, eight hundred sixty-seven thousand, nine hundred sixty-eight".