52668000 has 576 divisors, whose sum is σ = 245306880. Its totient is φ = 10368000.

The previous prime is 52667987. The next prime is 52668001. The reversal of 52668000 is 86625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52668001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2771991 + ... + 2772009.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 2^52668000 is an apocalyptic number.

52668000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

52668000 is an abundant number, since it is smaller than the sum of its proper divisors (192638880).

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

52668000 is a wasteful number, since it uses less digits than its factorization.

52668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52668000 is about 7257.2722148201. The cubic root of 52668000 is about 374.8426006104.

The spelling of 52668000 in words is "fifty-two million, six hundred sixty-eight thousand".