7241640 has 128 divisors (see below), whose sum is σ = 25608960. Its totient is φ = 1603584.

The previous prime is 7241627. The next prime is 7241657. The reversal of 7241640 is 461427.

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 7241640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30964 + ... + 31196.

It is an arithmetic number, because the mean of its divisors is an integer number (200070).

Almost surely, 2^7241640 is an apocalyptic number.

7241640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7241640 is the 1554-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7241640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804480).

7241640 is an abundant number, since it is smaller than the sum of its proper divisors (18367320).

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

7241640 is a wasteful number, since it uses less digits than its factorization.

7241640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 7241640 is about 2691.0295427587. The cubic root of 7241640 is about 193.4694113991.

The spelling of 7241640 in words is "seven million, two hundred forty-one thousand, six hundred forty".