66405152 has 48 divisors (see below), whose sum is σ = 150141600. Its totient is φ = 28592640.

The previous prime is 66405151. The next prime is 66405181. The reversal of 66405152 is 25150466.

It is not an unprimeable number, because it can be changed into a prime (66405151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1724 + ... + 11652.

It is an arithmetic number, because the mean of its divisors is an integer number (3127950).

Almost surely, 2^66405152 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 66405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75070800).

66405152 is an abundant number, since it is smaller than the sum of its proper divisors (83736448).

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

66405152 is a wasteful number, since it uses less digits than its factorization.

66405152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9969 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 66405152 is about 8148.9356360202. The cubic root of 66405152 is about 404.9492432454.

The spelling of 66405152 in words is "sixty-six million, four hundred five thousand, one hundred fifty-two".