33620864 has 64 divisors (see below), whose sum is σ = 71318400. Its totient is φ = 15759360.

The previous prime is 33620857. The next prime is 33620891. The reversal of 33620864 is 46802633.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33620864² = 2260724992212992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 33620864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146702 + ... + 146930.

It is an arithmetic number, because the mean of its divisors is an integer number (1114350).

Almost surely, 2^33620864 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 33620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35659200).

33620864 is an abundant number, since it is smaller than the sum of its proper divisors (37697536).

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

33620864 is a wasteful number, since it uses less digits than its factorization.

33620864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 33620864 is about 5798.3501101606. The cubic root of 33620864 is about 322.7525062090.

The spelling of 33620864 in words is "thirty-three million, six hundred twenty thousand, eight hundred sixty-four".