27401000 has 128 divisors (see below), whose sum is σ = 72783360. Its totient is φ = 9568000.

The previous prime is 27400973. The next prime is 27401009. The reversal of 27401000 is 10472.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27401009) 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, 516974 + ... + 517026.

It is an arithmetic number, because the mean of its divisors is an integer number (568620).

Almost surely, 2^27401000 is an apocalyptic number.

27401000 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 27401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36391680).

27401000 is an abundant number, since it is smaller than the sum of its proper divisors (45382360).

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

27401000 is a wasteful number, since it uses less digits than its factorization.

27401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 27401000 is about 5234.5964505394. The cubic root of 27401000 is about 301.4778926739.

Adding to 27401000 its reverse (10472), we get a palindrome (27411472).

The spelling of 27401000 in words is "twenty-seven million, four hundred one thousand".