7283640 has 256 divisors, whose sum is σ = 29030400. Its totient is φ = 1419264.

The previous prime is 7283623. The next prime is 7283651. The reversal of 7283640 is 463827.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7283598 and 7283607.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 251146 + ... + 251174.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 2^7283640 is an apocalyptic number.

7283640 is a gapful number since it is divisible by the number (70) 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 7283640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

7283640 is an abundant number, since it is smaller than the sum of its proper divisors (21746760).

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

7283640 is a wasteful number, since it uses less digits than its factorization.

7283640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 7283640 is about 2698.8219652285. The cubic root of 7283640 is about 193.8427180235.

The spelling of 7283640 in words is "seven million, two hundred eighty-three thousand, six hundred forty".