7641006 has 32 divisors (see below), whose sum is σ = 15876000. Its totient is φ = 2449920.

The previous prime is 7641001. The next prime is 7641013. The reversal of 7641006 is 6001467.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7641001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21720 + ... + 22068.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 2^7641006 is an apocalyptic number.

7641006 is an abundant number, since it is smaller than the sum of its proper divisors (8234994).

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

7641006 is a wasteful number, since it uses less digits than its factorization.

7641006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 7641006 is about 2764.2369652401. The cubic root of 7641006 is about 196.9624843745.

It can be divided in two parts, 764 and 1006, that added together give a triangular number (1770 = T₅₉).

The spelling of 7641006 in words is "seven million, six hundred forty-one thousand, six".