641214000 has 360 divisors, whose sum is σ = 2608770528. Its totient is φ = 146361600.

The previous prime is 641213971. The next prime is 641214001. The reversal of 641214000 is 412146.

641214000 is a `hidden beast` number, since 641 + 21 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×641214000² = 822310787592000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (641214001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 881637 + ... + 882363.

Almost surely, 2^641214000 is an apocalyptic number.

641214000 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 641214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304385264).

641214000 is an abundant number, since it is smaller than the sum of its proper divisors (1967556528).

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

641214000 is a wasteful number, since it uses less digits than its factorization.

641214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 641214000 is about 25322.2036955712. The cubic root of 641214000 is about 862.3184242848.

Adding to 641214000 its reverse (412146), we get a palindrome (641626146).

It can be divided in two parts, 64121 and 4000, that added together give a square (68121 = 261²).

The spelling of 641214000 in words is "six hundred forty-one million, two hundred fourteen thousand".