916116480 has 330 divisors, whose sum is σ = 3354177354. Its totient is φ = 239099904.

The previous prime is 916116463. The next prime is 916116497. The reversal of 916116480 is 84611619.

It is a happy number.

916116480 is a `hidden beast` number, since 9 + 1 + 6 + 1 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (916116463) and next prime (916116497).

It can be written as a sum of positive squares in only one way, i.e., 732893184 + 183223296 = 27072^2 + 13536^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19491817 + ... + 19491863.

Almost surely, 2^916116480 is an apocalyptic number.

916116480 is a gapful number since it is divisible by the number (90) 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 916116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677088677).

916116480 is an abundant number, since it is smaller than the sum of its proper divisors (2438060874).

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

916116480 is an equidigital number, since it uses as much as digits as its factorization.

916116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 916116480 is about 30267.4161434372. The cubic root of 916116480 is about 971.2183931516.

The spelling of 916116480 in words is "nine hundred sixteen million, one hundred sixteen thousand, four hundred eighty".