27661400 has 48 divisors (see below), whose sum is σ = 69266400. Its totient is φ = 10212480.

The previous prime is 27661399. The next prime is 27661411. The reversal of 27661400 is 416672.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 27661400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2720 + ... + 7919.

It is an arithmetic number, because the mean of its divisors is an integer number (1443050).

Almost surely, 2^27661400 is an apocalyptic number.

27661400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27661400 is an abundant number, since it is smaller than the sum of its proper divisors (41605000).

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

27661400 is a wasteful number, since it uses less digits than its factorization.

27661400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10668 (or 10659 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 27661400 is about 5259.4106133672. The cubic root of 27661400 is about 302.4298951903.

The spelling of 27661400 in words is "twenty-seven million, six hundred sixty-one thousand, four hundred".