66031968 has 48 divisors (see below), whose sum is σ = 174046320. Its totient is φ = 21920256.

The previous prime is 66031949. The next prime is 66031969. The reversal of 66031968 is 86913066.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66031969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24546 + ... + 27102.

It is an arithmetic number, because the mean of its divisors is an integer number (3625965).

Almost surely, 2^66031968 is an apocalyptic number.

It is an amenable number.

66031968 is an abundant number, since it is smaller than the sum of its proper divisors (108014352).

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

66031968 is a wasteful number, since it uses less digits than its factorization.

66031968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 66031968 is about 8126.0056608398. The cubic root of 66031968 is about 404.1892391876.

The spelling of 66031968 in words is "sixty-six million, thirty-one thousand, nine hundred sixty-eight".