33864156 has 60 divisors (see below), whose sum is σ = 93203880. Its totient is φ = 10692000.

The previous prime is 33864151. The next prime is 33864163. The reversal of 33864156 is 65146833.

33864156 is a `hidden beast` number, since 3 + 3 + 8 + 641 + 5 + 6 = 666.

It is a super-2 number, since 2×33864156² = 2293562123184672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 33864156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33864151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3406 + ... + 8906.

It is an arithmetic number, because the mean of its divisors is an integer number (1553398).

Almost surely, 2^33864156 is an apocalyptic number.

33864156 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 33864156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46601940).

33864156 is an abundant number, since it is smaller than the sum of its proper divisors (59339724).

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

33864156 is a wasteful number, since it uses less digits than its factorization.

33864156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5525 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 33864156 is about 5819.2917094781. The cubic root of 33864156 is about 323.5291514683.

The spelling of 33864156 in words is "thirty-three million, eight hundred sixty-four thousand, one hundred fifty-six".