27959620 has 48 divisors (see below), whose sum is σ = 64456560. Its totient is φ = 10123776.

The previous prime is 27959609. The next prime is 27959623. The reversal of 27959620 is 2695972.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1065024 + 26894596 = 1032^2 + 5186^2 .

It is a super-4 number, since 4×27959620⁴ (a number of 31 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (27959623) 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, 12766 + ... + 14794.

It is an arithmetic number, because the mean of its divisors is an integer number (1342845).

Almost surely, 2^27959620 is an apocalyptic number.

27959620 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 27959620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32228280).

27959620 is an abundant number, since it is smaller than the sum of its proper divisors (36496940).

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

27959620 is a wasteful number, since it uses less digits than its factorization.

27959620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 27959620 is about 5287.6856941388. The cubic root of 27959620 is about 303.5128537900.

The spelling of 27959620 in words is "twenty-seven million, nine hundred fifty-nine thousand, six hundred twenty".