27401200 has 60 divisors (see below), whose sum is σ = 66970168. Its totient is φ = 10771200.

The previous prime is 27401197. The next prime is 27401203. The reversal of 27401200 is 210472.

It is an interprime number because it is at equal distance from previous prime (27401197) and next prime (27401203).

It is a super-2 number, since 2×27401200² = 1501651522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27401203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23839 + ... + 24961.

Almost surely, 2^27401200 is an apocalyptic number.

27401200 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 27401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33485084).

27401200 is an abundant number, since it is smaller than the sum of its proper divisors (39568968).

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

27401200 is a wasteful number, since it uses less digits than its factorization.

27401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 27401200 is about 5234.6155541740. The cubic root of 27401200 is about 301.4786261682.

Adding to 27401200 its reverse (210472), we get a palindrome (27611672).

The spelling of 27401200 in words is "twenty-seven million, four hundred one thousand, two hundred".