7384640 has 56 divisors (see below), whose sum is σ = 17995392. Its totient is φ = 2885120.

The previous prime is 7384627. The next prime is 7384651. The reversal of 7384640 is 464837.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 7384597 and 7384606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14795 + ... + 15285.

Almost surely, 2^7384640 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 7384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8997696).

7384640 is an abundant number, since it is smaller than the sum of its proper divisors (10610752).

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

7384640 is a wasteful number, since it uses less digits than its factorization.

7384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 7384640 is about 2717.4694110514. The cubic root of 7384640 is about 194.7345940048.

The spelling of 7384640 in words is "seven million, three hundred eighty-four thousand, six hundred forty".