7662240 has 144 divisors (see below), whose sum is σ = 27773928. Its totient is φ = 1916928.

The previous prime is 7662227. The next prime is 7662241. The reversal of 7662240 is 422667.

It can be written as a sum of positive squares in 4 ways, for example, as 4717584 + 2944656 = 2172^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7662241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24324 + ... + 24636.

Almost surely, 2^7662240 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 7662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13886964).

7662240 is an abundant number, since it is smaller than the sum of its proper divisors (20111688).

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

7662240 is a wasteful number, since it uses less digits than its factorization.

7662240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7662240 is about 2768.0751434887. The cubic root of 7662240 is about 197.1447654870.

The spelling of 7662240 in words is "seven million, six hundred sixty-two thousand, two hundred forty".