27906031608 has 512 divisors, whose sum is σ = 93594009600. Its totient is φ = 6735052800.

The previous prime is 27906031499. The next prime is 27906031609. The reversal of 27906031608 is 80613060972.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 27906031608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27906031609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119768260 + ... + 119768492.

It is an arithmetic number, because the mean of its divisors is an integer number (182800800).

Almost surely, 2^27906031608 is an apocalyptic number.

27906031608 is a gapful number since it is divisible by the number (28) 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 27906031608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46797004800).

27906031608 is an abundant number, since it is smaller than the sum of its proper divisors (65687977992).

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

27906031608 is a wasteful number, since it uses less digits than its factorization.

27906031608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 27906031608 in words is "twenty-seven billion, nine hundred six million, thirty-one thousand, six hundred eight".