52669600 has 36 divisors (see below), whose sum is σ = 128581614. Its totient is φ = 21067520.

The previous prime is 52669583. The next prime is 52669601. The reversal of 52669600 is 696625.

It can be written as a sum of positive squares in 3 ways, for example, as 28344976 + 24324624 = 5324^2 + 4932^2 .

It is not an unprimeable number, because it can be changed into a prime (52669601) 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 5 ways as a sum of consecutive naturals, for example, 32119 + ... + 33718.

Almost surely, 2^52669600 is an apocalyptic number.

52669600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52669600 is an abundant number, since it is smaller than the sum of its proper divisors (75912014).

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

52669600 is a wasteful number, since it uses less digits than its factorization.

52669600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65857 (or 65844 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 52669600 is about 7257.3824482385. The cubic root of 52669600 is about 374.8463963503.

The spelling of 52669600 in words is "fifty-two million, six hundred sixty-nine thousand, six hundred".