66004632 has 96 divisors (see below), whose sum is σ = 195249600. Its totient is φ = 20831904.

The previous prime is 66004607. The next prime is 66004661. The reversal of 66004632 is 23640066.

It is a super-2 number, since 2×66004632² = 8713222890910848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 66004596 and 66004605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36043 + ... + 37829.

It is an arithmetic number, because the mean of its divisors is an integer number (2033850).

Almost surely, 2^66004632 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 66004632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97624800).

66004632 is an abundant number, since it is smaller than the sum of its proper divisors (129244968).

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

66004632 is a wasteful number, since it uses less digits than its factorization.

66004632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66004632 is about 8124.3234795274. The cubic root of 66004632 is about 404.1334558935.

Adding to 66004632 its reverse (23640066), we get a palindrome (89644698).

The spelling of 66004632 in words is "sixty-six million, four thousand, six hundred thirty-two".