33482680 has 96 divisors (see below), whose sum is σ = 95664240. Its totient is φ = 10429440.

The previous prime is 33482671. The next prime is 33482747. The reversal of 33482680 is 8628433.

It is a super-2 number, since 2×33482680² = 2242179719964800, 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 23 ways as a sum of consecutive naturals, for example, 20784 + ... + 22336.

Almost surely, 2^33482680 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 33482680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47832120).

33482680 is an abundant number, since it is smaller than the sum of its proper divisors (62181560).

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

33482680 is a wasteful number, since it uses less digits than its factorization.

33482680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 33482680 is about 5786.4220378400. The cubic root of 33482680 is about 322.3097208980.

The spelling of 33482680 in words is "thirty-three million, four hundred eighty-two thousand, six hundred eighty".