27407842 has 96 divisors (see below), whose sum is σ = 59253120. Its totient is φ = 9192960.

The previous prime is 27407839. The next prime is 27407851. The reversal of 27407842 is 24870472.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 27407798 and 27407807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 945084 + ... + 945112.

It is an arithmetic number, because the mean of its divisors is an integer number (617220).

Almost surely, 2^27407842 is an apocalyptic number.

27407842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

27407842 is the 2618-th decagonal number.

27407842 is an abundant number, since it is smaller than the sum of its proper divisors (31845278).

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

27407842 is a wasteful number, since it uses less digits than its factorization.

27407842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 27407842 is about 5235.2499462776. The cubic root of 27407842 is about 301.5029834867.

The spelling of 27407842 in words is "twenty-seven million, four hundred seven thousand, eight hundred forty-two".