916089104 has 120 divisors (see below), whose sum is σ = 2200975200. Its totient is φ = 367234560.

The previous prime is 916089077. The next prime is 916089113. The reversal of 916089104 is 401980619.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 23 ways as a sum of consecutive naturals, for example, 1325399 + ... + 1326089.

It is an arithmetic number, because the mean of its divisors is an integer number (18341460).

Almost surely, 2^916089104 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 916089104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100487600).

916089104 is an abundant number, since it is smaller than the sum of its proper divisors (1284886096).

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

916089104 is a wasteful number, since it uses less digits than its factorization.

916089104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 916089104 is about 30266.9639045610. The cubic root of 916089104 is about 971.2087188580.

The spelling of 916089104 in words is "nine hundred sixteen million, eighty-nine thousand, one hundred four".