33612096 has 112 divisors (see below), whose sum is σ = 103144320. Its totient is φ = 9461760.

The previous prime is 33612079. The next prime is 33612101. The reversal of 33612096 is 69021633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33612096² = 2259545995026432, which contains 22 as substring.

It is a congruent number.

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, 119476 + ... + 119756.

Almost surely, 2^33612096 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 33612096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51572160).

33612096 is an abundant number, since it is smaller than the sum of its proper divisors (69532224).

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

33612096 is a wasteful number, since it uses less digits than its factorization.

33612096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 33612096 is about 5797.5939837143. The cubic root of 33612096 is about 322.7244468467.

It can be divided in two parts, 336 and 12096, that multiplied together give a square (4064256 = 2016²).

The spelling of 33612096 in words is "thirty-three million, six hundred twelve thousand, ninety-six".