27690400 has 36 divisors (see below), whose sum is σ = 67601142. Its totient is φ = 11075840.

The previous prime is 27690373. The next prime is 27690427. The reversal of 27690400 is 409672.

It is an interprime number because it is at equal distance from previous prime (27690373) and next prime (27690427).

It can be written as a sum of positive squares in 3 ways, for example, as 18905104 + 8785296 = 4348^2 + 2964^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16507 + ... + 18106.

Almost surely, 2^27690400 is an apocalyptic number.

27690400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27690400 is an abundant number, since it is smaller than the sum of its proper divisors (39910742).

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

27690400 is a wasteful number, since it uses less digits than its factorization.

27690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34633 (or 34620 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 27690400 is about 5262.1668540631. The cubic root of 27690400 is about 302.5355466731.

The spelling of 27690400 in words is "twenty-seven million, six hundred ninety thousand, four hundred".