82214640 has 120 divisors (see below), whose sum is σ = 279424080. Its totient is φ = 21660672.

The previous prime is 82214621. The next prime is 82214677. The reversal of 82214640 is 4641228.

82214640 is a `hidden beast` number, since 8 + 2 + 2 + 14 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63439 + ... + 64721.

It is an arithmetic number, because the mean of its divisors is an integer number (2328534).

Almost surely, 2^82214640 is an apocalyptic number.

82214640 is a gapful number since it is divisible by the number (80) 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 82214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139712040).

82214640 is an abundant number, since it is smaller than the sum of its proper divisors (197209440).

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

82214640 is a wasteful number, since it uses less digits than its factorization.

82214640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82214640 is about 9067.2289041360. The cubic root of 82214640 is about 434.8268831551.

Adding to 82214640 its reverse (4641228), we get a palindrome (86855868).

The spelling of 82214640 in words is "eighty-two million, two hundred fourteen thousand, six hundred forty".