33416968 has 64 divisors (see below), whose sum is σ = 73347120. Its totient is φ = 14131200.

The previous prime is 33416947. The next prime is 33416989. The reversal of 33416968 is 86961433.

It is an interprime number because it is at equal distance from previous prime (33416947) and next prime (33416989).

It can be written as a sum of positive squares in 8 ways, for example, as 4235364 + 29181604 = 2058^2 + 5402^2 .

It is a super-2 number, since 2×33416968² = 2233387500626048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33416968.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72258 + ... + 72718.

Almost surely, 2^33416968 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 33416968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36673560).

33416968 is an abundant number, since it is smaller than the sum of its proper divisors (39930152).

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

33416968 is a wasteful number, since it uses less digits than its factorization.

33416968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 33416968 is about 5780.7411289557. The cubic root of 33416968 is about 322.0987313458.

The spelling of 33416968 in words is "thirty-three million, four hundred sixteen thousand, nine hundred sixty-eight".