66142944 has 216 divisors, whose sum is σ = 225945720. Its totient is φ = 18289152.

The previous prime is 66142943. The next prime is 66142957. The reversal of 66142944 is 44924166.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66142899 and 66142908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66142943) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606762 + ... + 606870.

It is an arithmetic number, because the mean of its divisors is an integer number (1046045).

Almost surely, 2^66142944 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 66142944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112972860).

66142944 is an abundant number, since it is smaller than the sum of its proper divisors (159802776).

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

66142944 is a wasteful number, since it uses less digits than its factorization.

66142944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 66142944 is about 8132.8312413329. The cubic root of 66142944 is about 404.4155447244.

The spelling of 66142944 in words is "sixty-six million, one hundred forty-two thousand, nine hundred forty-four".