7906261 has 18 divisors (see below), whose sum is σ = 9222486. Its totient is φ = 6771600.

The previous prime is 7906253. The next prime is 7906267. The reversal of 7906261 is 1626097.

7906261 = T₁ + T₂ + ... + T₃₆₁.

7906261 is a nontrivial binomial coefficient, being equal to C(363, 3).

It can be written as a sum of positive squares in only one way, i.e., 4368100 + 3538161 = 2090^2 + 1881^2 .

It is not a de Polignac number, because 7906261 - 2³ = 7906253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7906267) by changing a digit.

It is the 361-st tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43591 + ... + 43771.

Almost surely, 2^7906261 is an apocalyptic number.

It is an amenable number.

7906261 is a deficient number, since it is larger than the sum of its proper divisors (1316225).

7906261 is a wasteful number, since it uses less digits than its factorization.

7906261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 7906261 is about 2811.8074258384. The cubic root of 7906261 is about 199.2157706072.

The spelling of 7906261 in words is "seven million, nine hundred six thousand, two hundred sixty-one".