7953240 has 64 divisors (see below), whose sum is σ = 24053760. Its totient is φ = 2103680.

The previous prime is 7953217. The next prime is 7953247. The reversal of 7953240 is 423597.

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 = 7953198 and 7953207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7953247) 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 15 ways as a sum of consecutive naturals, for example, 22747 + ... + 23093.

It is an arithmetic number, because the mean of its divisors is an integer number (375840).

Almost surely, 2^7953240 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 7953240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12026880).

7953240 is an abundant number, since it is smaller than the sum of its proper divisors (16100520).

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

7953240 is a wasteful number, since it uses less digits than its factorization.

7953240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 7953240 is about 2820.1489322374. The cubic root of 7953240 is about 199.6095716578.

The spelling of 7953240 in words is "seven million, nine hundred fifty-three thousand, two hundred forty".