27145820 has 48 divisors (see below), whose sum is σ = 61937568. Its totient is φ = 9934080.

The previous prime is 27145817. The next prime is 27145823. The reversal of 27145820 is 2854172.

It is an interprime number because it is at equal distance from previous prime (27145817) and next prime (27145823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27145823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33662 + ... + 34458.

It is an arithmetic number, because the mean of its divisors is an integer number (1290366).

Almost surely, 2^27145820 is an apocalyptic number.

27145820 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 27145820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30968784).

27145820 is an abundant number, since it is smaller than the sum of its proper divisors (34791748).

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

27145820 is a wasteful number, since it uses less digits than its factorization.

27145820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 27145820 is about 5210.1650645637. The cubic root of 27145820 is about 300.5391047141.

Adding to 27145820 its reverse (2854172), we get a palindrome (29999992).

The spelling of 27145820 in words is "twenty-seven million, one hundred forty-five thousand, eight hundred twenty".