961946406 has 24 divisors (see below), whose sum is σ = 2098025904. Its totient is φ = 318524400.

The previous prime is 961946389. The next prime is 961946407. The reversal of 961946406 is 604649169.

It is a super-3 number, since 3×961946406³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961946407) 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, 174241 + ... + 179676.

It is an arithmetic number, because the mean of its divisors is an integer number (87417746).

Almost surely, 2^961946406 is an apocalyptic number.

961946406 is an abundant number, since it is smaller than the sum of its proper divisors (1136079498).

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

961946406 is a wasteful number, since it uses less digits than its factorization.

961946406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354076 (or 354073 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 961946406 is about 31015.2608565525. The cubic root of 961946406 is about 987.1510810446.

The spelling of 961946406 in words is "nine hundred sixty-one million, nine hundred forty-six thousand, four hundred six".