33990632 has 48 divisors (see below), whose sum is σ = 71326080. Its totient is φ = 15163200.

The previous prime is 33990631. The next prime is 33990653. The reversal of 33990632 is 23609933.

It is a junction number, because it is equal to n+sod(n) for n = 33990592 and 33990601.

It is not an unprimeable number, because it can be changed into a prime (33990631) 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, 41507 + ... + 42317.

It is an arithmetic number, because the mean of its divisors is an integer number (1485960).

Almost surely, 2^33990632 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 33990632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35663040).

33990632 is an abundant number, since it is smaller than the sum of its proper divisors (37335448).

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

33990632 is a wasteful number, since it uses less digits than its factorization.

33990632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 35.

The square root of 33990632 is about 5830.1485401317. The cubic root of 33990632 is about 323.9314237835.

The spelling of 33990632 in words is "thirty-three million, nine hundred ninety thousand, six hundred thirty-two".