7638462 has 84 divisors (see below), whose sum is σ = 19201824. Its totient is φ = 2274480.

The previous prime is 7638403. The next prime is 7638473. The reversal of 7638462 is 2648367.

It is a super-2 number, since 2×7638462² = 116692203450888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 246387 + ... + 246417.

Almost surely, 2^7638462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7638462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9600912).

7638462 is an abundant number, since it is smaller than the sum of its proper divisors (11563362).

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

7638462 is a wasteful number, since it uses less digits than its factorization.

7638462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 49 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 7638462 is about 2763.7767637781. The cubic root of 7638462 is about 196.9406230218.

It can be divided in two parts, 7638 and 462, that added together give a square (8100 = 90²).

The spelling of 7638462 in words is "seven million, six hundred thirty-eight thousand, four hundred sixty-two".