66038004 has 30 divisors (see below), whose sum is σ = 172637234. Its totient is φ = 22012560.

The previous prime is 66037997. The next prime is 66038033. The reversal of 66038004 is 40083066.

It can be written as a sum of positive squares in only one way, i.e., 54464400 + 11573604 = 7380^2 + 3402^2 .

It is a super-2 number, since 2×66038004² = 8722035944608032, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 101587 + ... + 102234.

Almost surely, 2^66038004 is an apocalyptic number.

It is an amenable number.

66038004 is an abundant number, since it is smaller than the sum of its proper divisors (106599230).

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

66038004 is a wasteful number, since it uses less digits than its factorization.

66038004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203837 (or 203826 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66038004 is about 8126.3770525370. The cubic root of 66038004 is about 404.2015544948.

The spelling of 66038004 in words is "sixty-six million, thirty-eight thousand, four".