7211640 has 64 divisors (see below), whose sum is σ = 22780800. Its totient is φ = 1821312.

The previous prime is 7211639. The next prime is 7211641. The reversal of 7211640 is 461127.

It is an interprime number because it is at equal distance from previous prime (7211639) and next prime (7211641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7211641) 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 15 ways as a sum of consecutive naturals, for example, 699 + ... + 3861.

It is an arithmetic number, because the mean of its divisors is an integer number (355950).

Almost surely, 2^7211640 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 7211640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11390400).

7211640 is an abundant number, since it is smaller than the sum of its proper divisors (15569160).

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

7211640 is a wasteful number, since it uses less digits than its factorization.

7211640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 7211640 is about 2685.4496830140. The cubic root of 7211640 is about 193.2018791959.

Adding to 7211640 its reverse (461127), we get a palindrome (7672767).

The spelling of 7211640 in words is "seven million, two hundred eleven thousand, six hundred forty".