27690240 has 72 divisors (see below), whose sum is σ = 88447968. Its totient is φ = 7383040.

The previous prime is 27690233. The next prime is 27690241. The reversal of 27690240 is 4209672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27690198 and 27690207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27690241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235 + ... + 7445.

It is an arithmetic number, because the mean of its divisors is an integer number (1228444).

Almost surely, 2^27690240 is an apocalyptic number.

27690240 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 27690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44223984).

27690240 is an abundant number, since it is smaller than the sum of its proper divisors (60757728).

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

27690240 is an equidigital number, since it uses as much as digits as its factorization.

27690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 27690240 is about 5262.1516511784. The cubic root of 27690240 is about 302.5349639708.

The spelling of 27690240 in words is "twenty-seven million, six hundred ninety thousand, two hundred forty".