7632240 has 240 divisors, whose sum is σ = 30533760. Its totient is φ = 1559040.

The previous prime is 7632239. The next prime is 7632253. The reversal of 7632240 is 422367.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×7632240³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 7632240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129331 + ... + 129389.

It is an arithmetic number, because the mean of its divisors is an integer number (127224).

Almost surely, 2^7632240 is an apocalyptic number.

7632240 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 7632240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).

7632240 is an abundant number, since it is smaller than the sum of its proper divisors (22901520).

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

7632240 is a wasteful number, since it uses less digits than its factorization.

7632240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 7632240 is about 2762.6509008559. The cubic root of 7632240 is about 196.8871350545.

It can be divided in two parts, 763 and 2240, that added together give a palindrome (3003).

The spelling of 7632240 in words is "seven million, six hundred thirty-two thousand, two hundred forty".