7964712 has 48 divisors (see below), whose sum is σ = 24654240. Its totient is φ = 2275488.

The previous prime is 7964711. The next prime is 7964713. The reversal of 7964712 is 2174697.

It is a happy number.

7964712 is a `hidden beast` number, since 7 + 9 + 647 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7964711) and next prime (7964713).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7964711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7398 + ... + 8405.

It is an arithmetic number, because the mean of its divisors is an integer number (513630).

Almost surely, 2^7964712 is an apocalyptic number.

7964712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7964712 is an abundant number, since it is smaller than the sum of its proper divisors (16689528).

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

7964712 is a wasteful number, since it uses less digits than its factorization.

7964712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15822 (or 15815 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 7964712 is about 2822.1821344484. The cubic root of 7964712 is about 199.7054998946.

The spelling of 7964712 in words is "seven million, nine hundred sixty-four thousand, seven hundred twelve".