27771240 has 96 divisors (see below), whose sum is σ = 96936480. Its totient is φ = 6346368.

The previous prime is 27771239. The next prime is 27771269. The reversal of 27771240 is 4217772.

It is a super-2 number, since 2×27771240² = 1542483542275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27771198 and 27771207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3519 + ... + 8241.

It is an arithmetic number, because the mean of its divisors is an integer number (1009755).

Almost surely, 2^27771240 is an apocalyptic number.

27771240 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 27771240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48468240).

27771240 is an abundant number, since it is smaller than the sum of its proper divisors (69165240).

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

27771240 is a wasteful number, since it uses less digits than its factorization.

27771240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 27771240 is about 5269.8425023904. The cubic root of 27771240 is about 302.8296704131.

It can be divided in two parts, 277 and 71240, that added together give a palindrome (71517).

The spelling of 27771240 in words is "twenty-seven million, seven hundred seventy-one thousand, two hundred forty".