7638540 has 96 divisors (see below), whose sum is σ = 26342400. Its totient is φ = 1610496.

The previous prime is 7638523. The next prime is 7638541. The reversal of 7638540 is 458367.

It is not an unprimeable number, because it can be changed into a prime (7638541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4761 + ... + 6159.

It is an arithmetic number, because the mean of its divisors is an integer number (274400).

Almost surely, 2^7638540 is an apocalyptic number.

7638540 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 7638540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171200).

7638540 is an abundant number, since it is smaller than the sum of its proper divisors (18703860).

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

7638540 is a wasteful number, since it uses less digits than its factorization.

7638540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 7638540 is about 2763.7908748673. The cubic root of 7638540 is about 196.9412933713.

The spelling of 7638540 in words is "seven million, six hundred thirty-eight thousand, five hundred forty".