27633342 has 32 divisors (see below), whose sum is σ = 61150464. Its totient is φ = 8254400.

The previous prime is 27633341. The next prime is 27633349. The reversal of 27633342 is 24333672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27633341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1738 + ... + 7634.

It is an arithmetic number, because the mean of its divisors is an integer number (1910952).

Almost surely, 2^27633342 is an apocalyptic number.

27633342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27633342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30575232).

27633342 is an abundant number, since it is smaller than the sum of its proper divisors (33517122).

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

27633342 is a wasteful number, since it uses less digits than its factorization.

27633342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5984.

The product of its digits is 18144, while the sum is 30.

The square root of 27633342 is about 5256.7425274594. The cubic root of 27633342 is about 302.3276052520.

It can be divided in two parts, 2763 and 3342, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 27633342 in words is "twenty-seven million, six hundred thirty-three thousand, three hundred forty-two".