52166268 has 288 divisors, whose sum is σ = 184923648. Its totient is φ = 12441600.

The previous prime is 52166243. The next prime is 52166269. The reversal of 52166268 is 86266125.

52166268 is a `hidden beast` number, since 5 + 21 + 6 + 626 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52166269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1272328 + ... + 1272368.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 2^52166268 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 52166268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

52166268 is an abundant number, since it is smaller than the sum of its proper divisors (132757380).

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

52166268 is a wasteful number, since it uses less digits than its factorization.

52166268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 52166268 is about 7222.6219615871. The cubic root of 52166268 is about 373.6485111255.

The spelling of 52166268 in words is "fifty-two million, one hundred sixty-six thousand, two hundred sixty-eight".