916984960 has 64 divisors (see below), whose sum is σ = 2262931200. Its totient is φ = 354954240.

The previous prime is 916984931. The next prime is 916984963. The reversal of 916984960 is 69489619.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×916984960² = 1681722833732403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 916984898 and 916984907.

It is not an unprimeable number, because it can be changed into a prime (916984963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3270 + ... + 42949.

It is an arithmetic number, because the mean of its divisors is an integer number (35358300).

Almost surely, 2^916984960 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 916984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131465600).

916984960 is an abundant number, since it is smaller than the sum of its proper divisors (1345946240).

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

916984960 is a wasteful number, since it uses less digits than its factorization.

916984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46269 (or 46257 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The square root of 916984960 is about 30281.7595261570. The cubic root of 916984960 is about 971.5252017898.

The spelling of 916984960 in words is "nine hundred sixteen million, nine hundred eighty-four thousand, nine hundred sixty".