27876420 has 288 divisors, whose sum is σ = 107533440. Its totient is φ = 5909760.

The previous prime is 27876419. The next prime is 27876461. The reversal of 27876420 is 2467872.

27876420 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1467171 + ... + 1467189.

It is an arithmetic number, because the mean of its divisors is an integer number (373380).

Almost surely, 2^27876420 is an apocalyptic number.

27876420 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 27876420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53766720).

27876420 is an abundant number, since it is smaller than the sum of its proper divisors (79657020).

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

27876420 is a wasteful number, since it uses less digits than its factorization.

27876420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 27876420 is about 5279.8124966707. The cubic root of 27876420 is about 303.2114982540.

It can be divided in two parts, 278764 and 20, that added together give a square (278784 = 528²).

The spelling of 27876420 in words is "twenty-seven million, eight hundred seventy-six thousand, four hundred twenty".