53867280 has 80 divisors (see below), whose sum is σ = 175792320. Its totient is φ = 13607424.

The previous prime is 53867267. The next prime is 53867293. The reversal of 53867280 is 8276835.

53867280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53867267) and next prime (53867293).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347 + ... + 10466.

It is an arithmetic number, because the mean of its divisors is an integer number (2197404).

Almost surely, 2^53867280 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 53867280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87896160).

53867280 is an abundant number, since it is smaller than the sum of its proper divisors (121925040).

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

53867280 is a wasteful number, since it uses less digits than its factorization.

53867280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11848 (or 11842 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 53867280 is about 7339.4332206241. The cubic root of 53867280 is about 377.6664003334. Note that the first 3 decimals are identical.

The spelling of 53867280 in words is "fifty-three million, eight hundred sixty-seven thousand, two hundred eighty".