7388640 has 144 divisors (see below), whose sum is σ = 28855008. Its totient is φ = 1686528.

The previous prime is 7388639. The next prime is 7388653. The reversal of 7388640 is 468837.

7388640 is a `hidden beast` number, since 7 + 3 + 8 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7388595 and 7388604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9714 + ... + 10446.

It is an arithmetic number, because the mean of its divisors is an integer number (200382).

Almost surely, 2^7388640 is an apocalyptic number.

7388640 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 7388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14427504).

7388640 is an abundant number, since it is smaller than the sum of its proper divisors (21466368).

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

7388640 is a wasteful number, since it uses less digits than its factorization.

7388640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7388640 is about 2718.2052902605. The cubic root of 7388640 is about 194.7697479539.

The spelling of 7388640 in words is "seven million, three hundred eighty-eight thousand, six hundred forty".