27772140 has 96 divisors (see below), whose sum is σ = 87816960. Its totient is φ = 6496000.

The previous prime is 27772133. The next prime is 27772153. The reversal of 27772140 is 4127772.

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 = 27772098 and 27772107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18415 + ... + 19865.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 2^27772140 is an apocalyptic number.

27772140 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 27772140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43908480).

27772140 is an abundant number, since it is smaller than the sum of its proper divisors (60044820).

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

27772140 is a wasteful number, since it uses less digits than its factorization.

27772140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1501 counting only the distinct ones).

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

The square root of 27772140 is about 5269.9278932448. The cubic root of 27772140 is about 302.8329417082.

The spelling of 27772140 in words is "twenty-seven million, seven hundred seventy-two thousand, one hundred forty".