7638678 has 64 divisors (see below), whose sum is σ = 18429120. Its totient is φ = 2336256.

The previous prime is 7638643. The next prime is 7638689. The reversal of 7638678 is 8768367.

7638678 is a `hidden beast` number, since 7 + 638 + 6 + 7 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48576 + ... + 48732.

It is an arithmetic number, because the mean of its divisors is an integer number (287955).

Almost surely, 2^7638678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7638678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9214560).

7638678 is an abundant number, since it is smaller than the sum of its proper divisors (10790442).

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

7638678 is a wasteful number, since it uses less digits than its factorization.

7638678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7638678 is about 2763.8158404640. The cubic root of 7638678 is about 196.9424793630.

The spelling of 7638678 in words is "seven million, six hundred thirty-eight thousand, six hundred seventy-eight".