64212000 has 96 divisors (see below), whose sum is σ = 210397824. Its totient is φ = 17120000.

The previous prime is 64211989. The next prime is 64212007. The reversal of 64212000 is 21246.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (64212007) 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, 9325 + ... + 14675.

It is an arithmetic number, because the mean of its divisors is an integer number (2191644).

Almost surely, 2^64212000 is an apocalyptic number.

64212000 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 64212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105198912).

64212000 is an abundant number, since it is smaller than the sum of its proper divisors (146185824).

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

64212000 is a wasteful number, since it uses less digits than its factorization.

64212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5379 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 64212000 is about 8013.2390454797. The cubic root of 64212000 is about 400.4411798885.

Adding to 64212000 its reverse (21246), we get a palindrome (64233246).

The spelling of 64212000 in words is "sixty-four million, two hundred twelve thousand".