7288890 has 64 divisors (see below), whose sum is σ = 20355840. Its totient is φ = 1635840.

The previous prime is 7288877. The next prime is 7288891. The reversal of 7288890 is 988827.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7288891) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12526 + ... + 13094.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 2^7288890 is an apocalyptic number.

7288890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7288890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177920).

7288890 is an abundant number, since it is smaller than the sum of its proper divisors (13066950).

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

7288890 is a wasteful number, since it uses less digits than its factorization.

7288890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647.

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 7288890 is about 2699.7944366192. The cubic root of 7288890 is about 193.8892803585.

The spelling of 7288890 in words is "seven million, two hundred eighty-eight thousand, eight hundred ninety".