8072946 has 84 divisors (see below), whose sum is σ = 21306942. Its totient is φ = 2286144.

The previous prime is 8072921. The next prime is 8072957. The reversal of 8072946 is 6492708.

It can be written as a sum of positive squares in only one way, i.e., 8037225 + 35721 = 2835^2 + 189^2 .

It is a super-3 number, since 3×8072946³ (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8072946.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 71386 + ... + 71498.

Almost surely, 2^8072946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8072946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10653471).

8072946 is an abundant number, since it is smaller than the sum of its proper divisors (13233996).

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

8072946 is a wasteful number, since it uses less digits than its factorization.

8072946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8072946 is about 2841.2930155125. The cubic root of 8072946 is about 200.6060450255.

The spelling of 8072946 in words is "eight million, seventy-two thousand, nine hundred forty-six".