27842640 has 80 divisors (see below), whose sum is σ = 98648448. Its totient is φ = 6363648.

The previous prime is 27842621. The next prime is 27842641. The reversal of 27842640 is 4624872.

27842640 = T₂₅₃ + T₂₅₄ + ... + T₅₆₇.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27842641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6607 + ... + 9966.

Almost surely, 2^27842640 is an apocalyptic number.

27842640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27842640 is an abundant number, since it is smaller than the sum of its proper divisors (70805808).

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

27842640 is a wasteful number, since it uses less digits than its factorization.

27842640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16596 (or 16590 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 27842640 is about 5276.6125497330. The cubic root of 27842640 is about 303.0889738600.

It can be divided in two parts, 27842 and 640, that added together give a palindrome (28482).

The spelling of 27842640 in words is "twenty-seven million, eight hundred forty-two thousand, six hundred forty".