33630516 has 72 divisors (see below), whose sum is σ = 87919104. Its totient is φ = 10834560.

The previous prime is 33630511. The next prime is 33630523. The reversal of 33630516 is 61503633.

It is a super-2 number, since 2×33630516² = 2262023212852512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33630516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33630511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175981 + ... + 176171.

Almost surely, 2^33630516 is an apocalyptic number.

33630516 is a gapful number since it is divisible by the number (36) 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 33630516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43959552).

33630516 is an abundant number, since it is smaller than the sum of its proper divisors (54288588).

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

33630516 is a wasteful number, since it uses less digits than its factorization.

33630516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 33630516 is about 5799.1823561602. The cubic root of 33630516 is about 322.7833889086.

The spelling of 33630516 in words is "thirty-three million, six hundred thirty thousand, five hundred sixteen".