7642512 has 50 divisors (see below), whose sum is σ = 22123398. Its totient is φ = 2547072.

The previous prime is 7642501. The next prime is 7642513. The reversal of 7642512 is 2152467.

7642512 is a `hidden beast` number, since 7 + 642 + 5 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 156816 = 2736^2 + 396^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7642513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1653 + ... + 4244.

Almost surely, 2^7642512 is an apocalyptic number.

7642512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7642512 is an abundant number, since it is smaller than the sum of its proper divisors (14480886).

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

7642512 is a wasteful number, since it uses less digits than its factorization.

7642512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5902 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 7642512 is about 2764.5093597237. The cubic root of 7642512 is about 196.9754235963.

Adding to 7642512 its reverse (2152467), we get a palindrome (9794979).

The spelling of 7642512 in words is "seven million, six hundred forty-two thousand, five hundred twelve".