66417552 has 30 divisors (see below), whose sum is σ = 185877302. Its totient is φ = 22139136.

The previous prime is 66417551. The next prime is 66417563. The reversal of 66417552 is 25571466.

It is a happy number.

66417552 is a `hidden beast` number, since 6 + 641 + 7 + 5 + 5 + 2 = 666.

66417552 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 62157456 + 4260096 = 7884^2 + 2064^2 .

It is a super-2 number, since 2×66417552² = 8822582427345408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (66417551) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 230473 + ... + 230760.

Almost surely, 2^66417552 is an apocalyptic number.

It is an amenable number.

66417552 is an abundant number, since it is smaller than the sum of its proper divisors (119459750).

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

66417552 is a wasteful number, since it uses less digits than its factorization.

66417552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461247 (or 461238 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 66417552 is about 8149.6964360644. The cubic root of 66417552 is about 404.9744474048.

The spelling of 66417552 in words is "sixty-six million, four hundred seventeen thousand, five hundred fifty-two".