961506168 has 192 divisors, whose sum is σ = 2972928000. Its totient is φ = 253566720.

The previous prime is 961506167. The next prime is 961506181. The reversal of 961506168 is 861605169.

It is a happy number.

It is a super-2 number, since 2×961506168² = 1848988222204088448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961506167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2754858 + ... + 2755206.

It is an arithmetic number, because the mean of its divisors is an integer number (15484000).

Almost surely, 2^961506168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961506168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486464000).

961506168 is an abundant number, since it is smaller than the sum of its proper divisors (2011421832).

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

961506168 is a wasteful number, since it uses less digits than its factorization.

961506168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 961506168 is about 31008.1629252686. The cubic root of 961506168 is about 987.0004670645. Note that the first 3 decimals are identical.

Subtracting from 961506168 its reverse (861605169), we obtain a palindrome (99900999).

The spelling of 961506168 in words is "nine hundred sixty-one million, five hundred six thousand, one hundred sixty-eight".