27552096 has 192 divisors, whose sum is σ = 94832640. Its totient is φ = 7672320.

The previous prime is 27552089. The next prime is 27552127. The reversal of 27552096 is 69025572.

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 27552096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123441 + ... + 123663.

It is an arithmetic number, because the mean of its divisors is an integer number (493920).

Almost surely, 2^27552096 is an apocalyptic number.

27552096 is a gapful number since it is divisible by the number (26) 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 27552096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47416320).

27552096 is an abundant number, since it is smaller than the sum of its proper divisors (67280544).

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

27552096 is a wasteful number, since it uses less digits than its factorization.

27552096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 27552096 is about 5249.0090493349. The cubic root of 27552096 is about 302.0310188451.

It can be divided in two parts, 2755 and 2096, that added together give a triangular number (4851 = T₉₈).

The spelling of 27552096 in words is "twenty-seven million, five hundred fifty-two thousand, ninety-six".