66162144 has 48 divisors (see below), whose sum is σ = 174112848. Its totient is φ = 21998592.

The previous prime is 66162119. The next prime is 66162149. The reversal of 66162144 is 44126166.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66162149) 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, 58674 + ... + 59790.

It is an arithmetic number, because the mean of its divisors is an integer number (3627351).

Almost surely, 2^66162144 is an apocalyptic number.

It is an amenable number.

66162144 is an abundant number, since it is smaller than the sum of its proper divisors (107950704).

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

66162144 is a wasteful number, since it uses less digits than its factorization.

66162144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1739 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 66162144 is about 8134.0115564216. The cubic root of 66162144 is about 404.4546722402.

The spelling of 66162144 in words is "sixty-six million, one hundred sixty-two thousand, one hundred forty-four".