27800640 has 252 divisors, whose sum is σ = 111799116. Its totient is φ = 6322176.

The previous prime is 27800621. The next prime is 27800651. The reversal of 27800640 is 4600872.

It can be written as a sum of positive squares in 2 ways, for example, as 20575296 + 7225344 = 4536^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141022 + ... + 141218.

Almost surely, 2^27800640 is an apocalyptic number.

27800640 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 27800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55899558).

27800640 is an abundant number, since it is smaller than the sum of its proper divisors (83998476).

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

27800640 is a wasteful number, since it uses less digits than its factorization.

27800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27800640 is about 5272.6312216957. The cubic root of 27800640 is about 302.9364961841.

The spelling of 27800640 in words is "twenty-seven million, eight hundred thousand, six hundred forty".