8213940 has 192 divisors, whose sum is σ = 30481920. Its totient is φ = 1797120.

The previous prime is 8213897. The next prime is 8213951. The reversal of 8213940 is 493128.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154954 + ... + 155006.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 2^8213940 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 8213940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

8213940 is an abundant number, since it is smaller than the sum of its proper divisors (22267980).

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

8213940 is a wasteful number, since it uses less digits than its factorization.

8213940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8213940 is about 2865.9972086518. The cubic root of 8213940 is about 201.7671728448.

It can be divided in two parts, 821 and 3940, that added together give a square (4761 = 69²).

The spelling of 8213940 in words is "eight million, two hundred thirteen thousand, nine hundred forty".