33461064 has 96 divisors (see below), whose sum is σ = 111558720. Its totient is φ = 8823168.

The previous prime is 33461047. The next prime is 33461081. The reversal of 33461064 is 46016433.

It is an interprime number because it is at equal distance from previous prime (33461047) and next prime (33461081).

It is a super-2 number, since 2×33461064² = 2239285608024192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3999 + ... + 9105.

It is an arithmetic number, because the mean of its divisors is an integer number (1162070).

Almost surely, 2^33461064 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 33461064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55779360).

33461064 is an abundant number, since it is smaller than the sum of its proper divisors (78097656).

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

33461064 is a wasteful number, since it uses less digits than its factorization.

33461064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33461064 is about 5784.5539153854. The cubic root of 33461064 is about 322.2403462567.

Adding to 33461064 its reverse (46016433), we get a palindrome (79477497).

The spelling of 33461064 in words is "thirty-three million, four hundred sixty-one thousand, sixty-four".