27354768 has 80 divisors (see below), whose sum is σ = 85530240. Its totient is φ = 7354368.

The previous prime is 27354763. The next prime is 27354781. The reversal of 27354768 is 86745372.

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

It is not an unprimeable number, because it can be changed into a prime (27354763) 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, 3318 + ... + 8106.

It is an arithmetic number, because the mean of its divisors is an integer number (1069128).

Almost surely, 2^27354768 is an apocalyptic number.

27354768 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 27354768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42765120).

27354768 is an abundant number, since it is smaller than the sum of its proper divisors (58175472).

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

27354768 is a wasteful number, since it uses less digits than its factorization.

27354768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4818 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 27354768 is about 5230.1785820371. The cubic root of 27354768 is about 301.3082422700.

It can be divided in two parts, 2735 and 4768, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 27354768 in words is "twenty-seven million, three hundred fifty-four thousand, seven hundred sixty-eight".