27690000 has 200 divisors, whose sum is σ = 97618752. Its totient is φ = 6720000.

The previous prime is 27689971. The next prime is 27690001. The reversal of 27690000 is 9672.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×27690000² = 1533472200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (27690001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389965 + ... + 390035.

Almost surely, 2^27690000 is an apocalyptic number.

27690000 is a gapful number since it is divisible by the number (20) 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 27690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48809376).

27690000 is an abundant number, since it is smaller than the sum of its proper divisors (69928752).

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

27690000 is a wasteful number, since it uses less digits than its factorization.

27690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 27690000 is about 5262.1288467691. The cubic root of 27690000 is about 302.5340899131.

Adding to 27690000 its reverse (9672), we get a palindrome (27699672).

The spelling of 27690000 in words is "twenty-seven million, six hundred ninety thousand".