27937840 has 60 divisors (see below), whose sum is σ = 75571056. Its totient is φ = 9577344.

The previous prime is 27937813. The next prime is 27937853. The reversal of 27937840 is 4873972.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 27937793 and 27937802.

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, 357 + ... + 7483.

Almost surely, 2^27937840 is an apocalyptic number.

27937840 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 27937840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37785528).

27937840 is an abundant number, since it is smaller than the sum of its proper divisors (47633216).

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

27937840 is a wasteful number, since it uses less digits than its factorization.

27937840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7154 (or 7141 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 27937840 is about 5285.6257907650. The cubic root of 27937840 is about 303.4340231146.

The spelling of 27937840 in words is "twenty-seven million, nine hundred thirty-seven thousand, eight hundred forty".