27713400 has 384 divisors, whose sum is σ = 112492800. Its totient is φ = 5529600.

The previous prime is 27713393. The next prime is 27713429. The reversal of 27713400 is 431772.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1458591 + ... + 1458609.

It is an arithmetic number, because the mean of its divisors is an integer number (292950).

Almost surely, 2^27713400 is an apocalyptic number.

27713400 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 27713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

27713400 is an abundant number, since it is smaller than the sum of its proper divisors (84779400).

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

27713400 is a wasteful number, since it uses less digits than its factorization.

27713400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 27713400 is about 5264.3518119518. The cubic root of 27713400 is about 302.6192867889.

The spelling of 27713400 in words is "twenty-seven million, seven hundred thirteen thousand, four hundred".