52167808 has 128 divisors (see below), whose sum is σ = 133171200. Its totient is φ = 19768320.

The previous prime is 52167799. The next prime is 52167821. The reversal of 52167808 is 80876125.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660313 + ... + 660391.

It is an arithmetic number, because the mean of its divisors is an integer number (1040400).

Almost surely, 2^52167808 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 52167808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66585600).

52167808 is an abundant number, since it is smaller than the sum of its proper divisors (81003392).

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

52167808 is a wasteful number, since it uses less digits than its factorization.

52167808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 52167808 is about 7222.7285702842. The cubic root of 52167808 is about 373.6521879143.

It can be divided in two parts, 52167 and 808, that added together give a triangular number (52975 = T₃₂₅).

The spelling of 52167808 in words is "fifty-two million, one hundred sixty-seven thousand, eight hundred eight".