7864506 has 64 divisors (see below), whose sum is σ = 19958400. Its totient is φ = 2274048.

The previous prime is 7864501. The next prime is 7864573. The reversal of 7864506 is 6054687.

It is a happy number.

7864506 is a `hidden beast` number, since 7 + 8 + 645 + 0 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (7864501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11605 + ... + 12263.

It is an arithmetic number, because the mean of its divisors is an integer number (311850).

Almost surely, 2^7864506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7864506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979200).

7864506 is an abundant number, since it is smaller than the sum of its proper divisors (12093894).

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

7864506 is a wasteful number, since it uses less digits than its factorization.

7864506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7864506 is about 2804.3726571196. The cubic root of 7864506 is about 198.8644481455.

The spelling of 7864506 in words is "seven million, eight hundred sixty-four thousand, five hundred six".