961418088 has 144 divisors (see below), whose sum is σ = 2810134080. Its totient is φ = 296768448.

The previous prime is 961418077. The next prime is 961418131. The reversal of 961418088 is 880814169.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1221231 + ... + 1222017.

It is an arithmetic number, because the mean of its divisors is an integer number (19514820).

Almost surely, 2^961418088 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 961418088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405067040).

961418088 is an abundant number, since it is smaller than the sum of its proper divisors (1848715992).

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

961418088 is a wasteful number, since it uses less digits than its factorization.

961418088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 961418088 is about 31006.7426215654. The cubic root of 961418088 is about 986.9703276649.

The spelling of 961418088 in words is "nine hundred sixty-one million, four hundred eighteen thousand, eighty-eight".