7386240 has 64 divisors (see below), whose sum is σ = 23549760. Its totient is φ = 1969152.

The previous prime is 7386229. The next prime is 7386241. The reversal of 7386240 is 426837.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7386198 and 7386207.

It is not an unprimeable number, because it can be changed into a prime (7386241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 3843.

It is an arithmetic number, because the mean of its divisors is an integer number (367965).

Almost surely, 2^7386240 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 7386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11774880).

7386240 is an abundant number, since it is smaller than the sum of its proper divisors (16163520).

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

7386240 is a wasteful number, since it uses less digits than its factorization.

7386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 7386240 is about 2717.7637866452. The cubic root of 7386240 is about 194.7486571074.

It can be divided in two parts, 7386 and 240, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 7386240 in words is "seven million, three hundred eighty-six thousand, two hundred forty".