66632 has 8 divisors (see below), whose sum is σ = 124950. Its totient is φ = 33312.

The previous prime is 66629. The next prime is 66643. The reversal of 66632 is 23666.

It can be written as a sum of positive squares in only one way, i.e., 64516 + 2116 = 254^2 + 46^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 9.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66598 and 66607.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4157 + ... + 4172.

2⁶⁶⁶³² is an apocalyptic number.

It is an amenable number.

66632 is a deficient number, since it is larger than the sum of its proper divisors (58318).

66632 is a wasteful number, since it uses less digits than its factorization.

66632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8335 (or 8331 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 66632 is about 258.1317493064. The cubic root of 66632 is about 40.5409837629.

It can be divided in two parts, 666 and 32, that multiplied together give a palindrome (21312).

The spelling of 66632 in words is "sixty-six thousand, six hundred thirty-two".