33168864 has 48 divisors (see below), whose sum is σ = 88279632. Its totient is φ = 10902528.

The previous prime is 33168847. The next prime is 33168881. The reversal of 33168864 is 46886133.

It is an interprime number because it is at equal distance from previous prime (33168847) and next prime (33168881).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33168864² = 2200347078100992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4642 + ... + 9374.

It is an arithmetic number, because the mean of its divisors is an integer number (1839159).

Almost surely, 2^33168864 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 33168864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44139816).

33168864 is an abundant number, since it is smaller than the sum of its proper divisors (55110768).

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

33168864 is a wasteful number, since it uses less digits than its factorization.

33168864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4811 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 33168864 is about 5759.2416167409. The cubic root of 33168864 is about 321.2996106015.

The spelling of 33168864 in words is "thirty-three million, one hundred sixty-eight thousand, eight hundred sixty-four".