916735968 has 144 divisors (see below), whose sum is σ = 2791466496. Its totient is φ = 295643520.

The previous prime is 916735957. The next prime is 916735969. The reversal of 916735968 is 869537619.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916735969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239155 + ... + 242957.

It is an arithmetic number, because the mean of its divisors is an integer number (19385184).

Almost surely, 2^916735968 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 916735968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395733248).

916735968 is an abundant number, since it is smaller than the sum of its proper divisors (1874730528).

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

916735968 is a wasteful number, since it uses less digits than its factorization.

916735968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3839 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 916735968 is about 30277.6479931979. The cubic root of 916735968 is about 971.4372599981.

The spelling of 916735968 in words is "nine hundred sixteen million, seven hundred thirty-five thousand, nine hundred sixty-eight".