66162000 has 80 divisors (see below), whose sum is σ = 213325632. Its totient is φ = 17641600.

The previous prime is 66161983. The next prime is 66162013. The reversal of 66162000 is 26166.

66162000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (21) 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 15 ways as a sum of consecutive naturals, for example, 487 + ... + 11513.

Almost surely, 2^66162000 is an apocalyptic number.

66162000 is a gapful number since it is divisible by the number (60) 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 66162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106662816).

66162000 is an abundant number, since it is smaller than the sum of its proper divisors (147163632).

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

66162000 is a wasteful number, since it uses less digits than its factorization.

66162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11053 (or 11037 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 66162000 is about 8134.0027046959. The cubic root of 66162000 is about 404.4543788120.

Adding to 66162000 its reverse (26166), we get a palindrome (66188166).

The spelling of 66162000 in words is "sixty-six million, one hundred sixty-two thousand".