66034640 has 80 divisors (see below), whose sum is σ = 180262272. Its totient is φ = 22021632.

The previous prime is 66034637. The next prime is 66034643. The reversal of 66034640 is 4643066.

66034640 = T₁₉₂₅ + T₁₉₂₆ + ... + T₁₉₅₉.

It is an interprime number because it is at equal distance from previous prime (66034637) and next prime (66034643).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66034643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19127 + ... + 22313.

Almost surely, 2^66034640 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 66034640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90131136).

66034640 is an abundant number, since it is smaller than the sum of its proper divisors (114227632).

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

66034640 is a wasteful number, since it uses less digits than its factorization.

66034640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 66034640 is about 8126.1700695961. The cubic root of 66034640 is about 404.1946909867.

The spelling of 66034640 in words is "sixty-six million, thirty-four thousand, six hundred forty".