33079680 has 96 divisors (see below), whose sum is σ = 114248160. Its totient is φ = 8819712.

The previous prime is 33079667. The next prime is 33079687. The reversal of 33079680 is 8697033.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33079687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2889 + ... + 8631.

It is an arithmetic number, because the mean of its divisors is an integer number (1190085).

Almost surely, 2^33079680 is an apocalyptic number.

33079680 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 33079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57124080).

33079680 is an abundant number, since it is smaller than the sum of its proper divisors (81168480).

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

33079680 is a wasteful number, since it uses less digits than its factorization.

33079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5768 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 33079680 is about 5751.4937190264. The cubic root of 33079680 is about 321.0113834144.

The spelling of 33079680 in words is "thirty-three million, seventy-nine thousand, six hundred eighty".