66132624 has 60 divisors (see below), whose sum is σ = 175797776. Its totient is φ = 21411264.

The previous prime is 66132617. The next prime is 66132637. The reversal of 66132624 is 42623166.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66132591 and 66132600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369367 + ... + 369545.

Almost surely, 2^66132624 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 66132624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87898888).

66132624 is an abundant number, since it is smaller than the sum of its proper divisors (109665152).

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

66132624 is a wasteful number, since it uses less digits than its factorization.

66132624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 227 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 66132624 is about 8132.1967511860. The cubic root of 66132624 is about 404.3945105558.

The spelling of 66132624 in words is "sixty-six million, one hundred thirty-two thousand, six hundred twenty-four".