52267680 has 240 divisors, whose sum is σ = 191184840. Its totient is φ = 13436928.

The previous prime is 52267669. The next prime is 52267693. The reversal of 52267680 is 8676225.

It can be written as a sum of positive squares in 4 ways, for example, as 51322896 + 944784 = 7164^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 479466 + ... + 479574.

Almost surely, 2^52267680 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 52267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95592420).

52267680 is an abundant number, since it is smaller than the sum of its proper divisors (138917160).

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

52267680 is a wasteful number, since it uses less digits than its factorization.

52267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 52267680 is about 7229.6389951366. The cubic root of 52267680 is about 373.8904804814.

The spelling of 52267680 in words is "fifty-two million, two hundred sixty-seven thousand, six hundred eighty".