7438640 has 80 divisors (see below), whose sum is σ = 19284480. Its totient is φ = 2645760.

The previous prime is 7438631. The next prime is 7438663. The reversal of 7438640 is 468347.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 7438597 and 7438606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69467 + ... + 69573.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 2^7438640 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 7438640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642240).

7438640 is an abundant number, since it is smaller than the sum of its proper divisors (11845840).

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

7438640 is a wasteful number, since it uses less digits than its factorization.

7438640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

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

The square root of 7438640 is about 2727.3870279078. The cubic root of 7438640 is about 195.2081056833.

The spelling of 7438640 in words is "seven million, four hundred thirty-eight thousand, six hundred forty".