916566336 has 168 divisors, whose sum is σ = 3099759104. Its totient is φ = 253393920.

The previous prime is 916566323. The next prime is 916566341. The reversal of 916566336 is 633665619.

916566336 is a `hidden beast` number, since 9 + 1 + 6 + 5 + 6 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 916566291 and 916566300.

It is a congruent number.

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, 121326 + ... + 128658.

Almost surely, 2^916566336 is an apocalyptic number.

916566336 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 916566336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549879552).

916566336 is an abundant number, since it is smaller than the sum of its proper divisors (2183192768).

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

916566336 is a wasteful number, since it uses less digits than its factorization.

916566336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7389 (or 7376 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 916566336 is about 30274.8465892067. The cubic root of 916566336 is about 971.3773383427.

The spelling of 916566336 in words is "nine hundred sixteen million, five hundred sixty-six thousand, three hundred thirty-six".