7638120 has 144 divisors (see below), whose sum is σ = 28943460. Its totient is φ = 1741824.

The previous prime is 7638089. The next prime is 7638143. The reversal of 7638120 is 218367.

7638120 is a `hidden beast` number, since 7 + 638 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7001316 + 636804 = 2646^2 + 798^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17424 + ... + 17856.

Almost surely, 2^7638120 is an apocalyptic number.

7638120 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 7638120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471730).

7638120 is an abundant number, since it is smaller than the sum of its proper divisors (21305340).

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

7638120 is a wasteful number, since it uses less digits than its factorization.

7638120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7638120 is about 2763.7148912288. The cubic root of 7638120 is about 196.9376837435.

The spelling of 7638120 in words is "seven million, six hundred thirty-eight thousand, one hundred twenty".