916634016 has 144 divisors (see below), whose sum is σ = 2840806080. Its totient is φ = 287493120.

The previous prime is 916633987. The next prime is 916634029. The reversal of 916634016 is 610436619.

916634016 is a `hidden beast` number, since 9 + 1 + 6 + 634 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247861 + ... + 251531.

It is an arithmetic number, because the mean of its divisors is an integer number (19727820).

Almost surely, 2^916634016 is an apocalyptic number.

916634016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420403040).

916634016 is an abundant number, since it is smaller than the sum of its proper divisors (1924172064).

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

916634016 is a wasteful number, since it uses less digits than its factorization.

916634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 3693 counting only the distinct ones).

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

The square root of 916634016 is about 30275.9643281597. The cubic root of 916634016 is about 971.4012468505.

The spelling of 916634016 in words is "nine hundred sixteen million, six hundred thirty-four thousand, sixteen".