8242380 has 72 divisors (see below), whose sum is σ = 25880400. Its totient is φ = 2120832.

The previous prime is 8242363. The next prime is 8242411. The reversal of 8242380 is 832428.

8242380 = 177² + 178² + ... + 311².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4431 + ... + 6009.

It is an arithmetic number, because the mean of its divisors is an integer number (359450).

Almost surely, 2^8242380 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 8242380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940200).

8242380 is an abundant number, since it is smaller than the sum of its proper divisors (17638020).

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

8242380 is a wasteful number, since it uses less digits than its factorization.

8242380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1618 counting only the distinct ones).

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

The square root of 8242380 is about 2870.9545450947. The cubic root of 8242380 is about 201.9997712640. Note that the first 3 decimals are identical.

The spelling of 8242380 in words is "eight million, two hundred forty-two thousand, three hundred eighty".