8213040 has 240 divisors, whose sum is σ = 32381856. Its totient is φ = 1843200.

The previous prime is 8213033. The next prime is 8213053. The reversal of 8213040 is 403128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 134610 + ... + 134670.

Almost surely, 2^8213040 is an apocalyptic number.

8213040 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 8213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16190928).

8213040 is an abundant number, since it is smaller than the sum of its proper divisors (24168816).

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

8213040 is a wasteful number, since it uses less digits than its factorization.

8213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

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

The square root of 8213040 is about 2865.8401909388. The cubic root of 8213040 is about 201.7598033775.

Adding to 8213040 its reverse (403128), we get a palindrome (8616168).

The spelling of 8213040 in words is "eight million, two hundred thirteen thousand, forty".