66038016 has 72 divisors (see below), whose sum is σ = 191759904. Its totient is φ = 20008960.

The previous prime is 66037997. The next prime is 66038033. The reversal of 66038016 is 61083066.

66038016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66038016² = 8722039114432512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4540 + ... + 12356.

It is an arithmetic number, because the mean of its divisors is an integer number (2663332).

Almost surely, 2^66038016 is an apocalyptic number.

66038016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95879952).

66038016 is an abundant number, since it is smaller than the sum of its proper divisors (125721888).

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

66038016 is a wasteful number, since it uses less digits than its factorization.

66038016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 66038016 is about 8126.3777908734. The cubic root of 66038016 is about 404.2015789778.

The spelling of 66038016 in words is "sixty-six million, thirty-eight thousand, sixteen".