6961626 has 60 divisors (see below), whose sum is σ = 18166698. Its totient is φ = 1986768.

The previous prime is 6961613. The next prime is 6961649. The reversal of 6961626 is 6261696.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4862025 + 2099601 = 2205^2 + 1449^2 .

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

It is a Curzon number.

It is an unprimeable 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 29 ways as a sum of consecutive naturals, for example, 7500 + ... + 8376.

Almost surely, 2^6961626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6961626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9083349).

6961626 is an abundant number, since it is smaller than the sum of its proper divisors (11205072).

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

6961626 is a wasteful number, since it uses less digits than its factorization.

6961626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 889 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 6961626 is about 2638.4893405129. The cubic root of 6961626 is about 190.9429212774.

The spelling of 6961626 in words is "six million, nine hundred sixty-one thousand, six hundred twenty-six".