916536960 has 192 divisors, whose sum is σ = 3242945160. Its totient is φ = 238387200.

The previous prime is 916536937. The next prime is 916536961. The reversal of 916536960 is 69635619.

It can be written as a sum of positive squares in 4 ways, for example, as 554319936 + 362217024 = 23544^2 + 19032^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (916536961) by changing a digit.

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, 234220 + ... + 238100.

Almost surely, 2^916536960 is an apocalyptic number.

916536960 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 916536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621472580).

916536960 is an abundant number, since it is smaller than the sum of its proper divisors (2326408200).

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

916536960 is a wasteful number, since it uses less digits than its factorization.

916536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 916536960 is about 30274.3614300946. The cubic root of 916536960 is about 971.3669606666.

The spelling of 916536960 in words is "nine hundred sixteen million, five hundred thirty-six thousand, nine hundred sixty".