27361536 has 72 divisors (see below), whose sum is σ = 76036800. Its totient is φ = 8718336.

The previous prime is 27361519. The next prime is 27361541. The reversal of 27361536 is 63516372.

It is a junction number, because it is equal to n+sod(n) for n = 27361497 and 27361506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16890 + ... + 18438.

Almost surely, 2^27361536 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 27361536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38018400).

27361536 is an abundant number, since it is smaller than the sum of its proper divisors (48675264).

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

27361536 is a wasteful number, since it uses less digits than its factorization.

27361536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1577 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 27361536 is about 5230.8255562578. The cubic root of 27361536 is about 301.3330896875. Note that the first 3 decimals are identical.

Subtracting from 27361536 its sum of digits (33), we obtain a triangular number (27361503 = T₇₃₉₇).

The spelling of 27361536 in words is "twenty-seven million, three hundred sixty-one thousand, five hundred thirty-six".