33631068 has 48 divisors (see below), whose sum is σ = 81718560. Its totient is φ = 10752000.

The previous prime is 33631051. The next prime is 33631093. The reversal of 33631068 is 86013633.

It is a super-2 number, since 2×33631068² = 2262097469641248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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, 83668 + ... + 84068.

It is an arithmetic number, because the mean of its divisors is an integer number (1702470).

Almost surely, 2^33631068 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 33631068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40859280).

33631068 is an abundant number, since it is smaller than the sum of its proper divisors (48087492).

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

33631068 is a wasteful number, since it uses less digits than its factorization.

33631068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 33631068 is about 5799.2299488811. The cubic root of 33631068 is about 322.7851549183.

The spelling of 33631068 in words is "thirty-three million, six hundred thirty-one thousand, sixty-eight".