916531968 has 288 divisors, whose sum is σ = 2860945920. Its totient is φ = 257720320.

The previous prime is 916531963. The next prime is 916531969. The reversal of 916531968 is 869135619.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (916531961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10298068 + ... + 10298156.

It is an arithmetic number, because the mean of its divisors is an integer number (9933840).

Almost surely, 2^916531968 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 916531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430472960).

916531968 is an abundant number, since it is smaller than the sum of its proper divisors (1944413952).

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

916531968 is a wasteful number, since it uses less digits than its factorization.

916531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 916531968 is about 30274.2789839824. The cubic root of 916531968 is about 971.3651971179.

The spelling of 916531968 in words is "nine hundred sixteen million, five hundred thirty-one thousand, nine hundred sixty-eight".