27729540 has 60 divisors (see below), whose sum is σ = 86993676. Its totient is φ = 7394112.

The previous prime is 27729521. The next prime is 27729629. The reversal of 27729540 is 4592772.

It can be written as a sum of positive squares in 2 ways, for example, as 3048516 + 24681024 = 1746^2 + 4968^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×27729540² = 1537854777223200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 27729495 and 27729504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6939 + ... + 10178.

Almost surely, 2^27729540 is an apocalyptic number.

27729540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27729540 is an abundant number, since it is smaller than the sum of its proper divisors (59264136).

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

27729540 is a wasteful number, since it uses less digits than its factorization.

27729540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17138 (or 17127 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 27729540 is about 5265.8845410814. The cubic root of 27729540 is about 302.6780228445.

The spelling of 27729540 in words is "twenty-seven million, seven hundred twenty-nine thousand, five hundred forty".