66202000 has 80 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 26083200.

The previous prime is 66201979. The next prime is 66202001. The reversal of 66202000 is 20266.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (66202001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157791 + ... + 158209.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^66202000 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 66202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

66202000 is an abundant number, since it is smaller than the sum of its proper divisors (96287600).

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

66202000 is a wasteful number, since it uses less digits than its factorization.

66202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 66202000 is about 8136.4611472064. The cubic root of 66202000 is about 404.5358702821.

Adding to 66202000 its reverse (20266), we get a palindrome (66222266).

The spelling of 66202000 in words is "sixty-six million, two hundred two thousand".