66146944 has 32 divisors (see below), whose sum is σ = 132559200. Its totient is φ = 32877312.

The previous prime is 66146939. The next prime is 66146957. The reversal of 66146944 is 44964166.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 66146897 and 66146906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21469 + ... + 24355.

It is an arithmetic number, because the mean of its divisors is an integer number (4142475).

Almost surely, 2^66146944 is an apocalyptic number.

66146944 is a gapful number since it is divisible by the number (64) 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 66146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66279600).

66146944 is an abundant number, since it is smaller than the sum of its proper divisors (66412256).

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

66146944 is a wasteful number, since it uses less digits than its factorization.

66146944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3068 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 66146944 is about 8133.0771544355. The cubic root of 66146944 is about 404.4236969146.

The spelling of 66146944 in words is "sixty-six million, one hundred forty-six thousand, nine hundred forty-four".