27633996 has 72 divisors (see below), whose sum is σ = 75950784. Its totient is φ = 8421120.

The previous prime is 27633953. The next prime is 27634003. The reversal of 27633996 is 69933672.

27633996 is a `hidden beast` number, since 2 + 7 + 633 + 9 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63901 + ... + 64331.

It is an arithmetic number, because the mean of its divisors is an integer number (1054872).

Almost surely, 2^27633996 is an apocalyptic number.

27633996 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 27633996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37975392).

27633996 is an abundant number, since it is smaller than the sum of its proper divisors (48316788).

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

27633996 is a wasteful number, since it uses less digits than its factorization.

27633996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 586 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 27633996 is about 5256.8047329152. The cubic root of 27633996 is about 302.3299903018.

The spelling of 27633996 in words is "twenty-seven million, six hundred thirty-three thousand, nine hundred ninety-six".