27629964 has 96 divisors (see below), whose sum is σ = 77112000. Its totient is φ = 8524800.

The previous prime is 27629963. The next prime is 27629999. The reversal of 27629964 is 46992672.

It is not an unprimeable number, because it can be changed into a prime (27629963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185362 + ... + 185510.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 2^27629964 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 27629964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38556000).

27629964 is an abundant number, since it is smaller than the sum of its proper divisors (49482036).

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

27629964 is a wasteful number, since it uses less digits than its factorization.

27629964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 27629964 is about 5256.4212159986. The cubic root of 27629964 is about 302.3152855421.

It can be divided in two parts, 27 and 629964, that multiplied together give a triangular number (17009028 = T₅₈₃₂).

The spelling of 27629964 in words is "twenty-seven million, six hundred twenty-nine thousand, nine hundred sixty-four".