64662000 has 160 divisors (see below), whose sum is σ = 224777280. Its totient is φ = 15897600.

The previous prime is 64661983. The next prime is 64662007. The reversal of 64662000 is 26646.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64662007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77586 + ... + 78414.

It is an arithmetic number, because the mean of its divisors is an integer number (1404858).

Almost surely, 2^64662000 is an apocalyptic number.

64662000 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 64662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112388640).

64662000 is an abundant number, since it is smaller than the sum of its proper divisors (160115280).

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

64662000 is a wasteful number, since it uses less digits than its factorization.

64662000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 64662000 is about 8041.2685566396. The cubic root of 64662000 is about 401.3744385541.

Adding to 64662000 its reverse (26646), we get a palindrome (64688646).

The spelling of 64662000 in words is "sixty-four million, six hundred sixty-two thousand".