33868080 has 120 divisors (see below), whose sum is σ = 120474432. Its totient is φ = 8497152.

The previous prime is 33868073. The next prime is 33868099. The reversal of 33868080 is 8086833.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33868080² = 2294093685772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10857 + ... + 13623.

Almost surely, 2^33868080 is an apocalyptic number.

33868080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33868080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60237216).

33868080 is an abundant number, since it is smaller than the sum of its proper divisors (86606352).

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

33868080 is a wasteful number, since it uses less digits than its factorization.

33868080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 33868080 is about 5819.6288541453. The cubic root of 33868080 is about 323.5416472702.

The spelling of 33868080 in words is "thirty-three million, eight hundred sixty-eight thousand, eighty".