7671964 has 24 divisors (see below), whose sum is σ = 14303520. Its totient is φ = 3588096.

The previous prime is 7671959. The next prime is 7671967. The reversal of 7671964 is 4691767.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 7² + 6⁸ + 7⁶ + 1 + 9³ + 6⁸ + 4¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7671967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17257 + ... + 17695.

It is an arithmetic number, because the mean of its divisors is an integer number (595980).

Almost surely, 2^7671964 is an apocalyptic number.

It is an amenable number.

7671964 is a deficient number, since it is larger than the sum of its proper divisors (6631556).

7671964 is a wasteful number, since it uses less digits than its factorization.

7671964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The square root of 7671964 is about 2769.8310417785. The cubic root of 7671964 is about 197.2281277637.

The spelling of 7671964 in words is "seven million, six hundred seventy-one thousand, nine hundred sixty-four".