7338960 has 60 divisors (see below), whose sum is σ = 24649092. Its totient is φ = 1956864.

The previous prime is 7338931. The next prime is 7338967. The reversal of 7338960 is 698337.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 3370896 = 1992^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7338967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4377 + ... + 5816.

Almost surely, 2^7338960 is an apocalyptic number.

It is an amenable number.

7338960 is an abundant number, since it is smaller than the sum of its proper divisors (17310132).

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

7338960 is a wasteful number, since it uses less digits than its factorization.

7338960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10212 (or 10203 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7338960 is about 2709.0514945272. The cubic root of 7338960 is about 194.3322326410.

The spelling of 7338960 in words is "seven million, three hundred thirty-eight thousand, nine hundred sixty".