27105948 has 48 divisors (see below), whose sum is σ = 70560000. Its totient is φ = 8998704.

The previous prime is 27105943. The next prime is 27105959. The reversal of 27105948 is 84950172.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27105943) 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, 44953 + ... + 45551.

It is an arithmetic number, because the mean of its divisors is an integer number (1470000).

Almost surely, 2^27105948 is an apocalyptic number.

It is an amenable number.

27105948 is an abundant number, since it is smaller than the sum of its proper divisors (43454052).

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

27105948 is a wasteful number, since it uses less digits than its factorization.

27105948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 27105948 is about 5206.3372921854. The cubic root of 27105948 is about 300.3918878568.

The spelling of 27105948 in words is "twenty-seven million, one hundred five thousand, nine hundred forty-eight".