27406960 has 80 divisors (see below), whose sum is σ = 73656000. Its totient is φ = 9289728.

The previous prime is 27406957. The next prime is 27406963. The reversal of 27406960 is 6960472.

27406960 = 458² + 459² + ... + 562².

It is an interprime number because it is at equal distance from previous prime (27406957) and next prime (27406963).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×27406960² = 1502282912883200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27406963) 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, 60816 + ... + 61264.

It is an arithmetic number, because the mean of its divisors is an integer number (920700).

Almost surely, 2^27406960 is an apocalyptic number.

27406960 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 27406960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828000).

27406960 is an abundant number, since it is smaller than the sum of its proper divisors (46249040).

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

27406960 is a wasteful number, since it uses less digits than its factorization.

27406960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 27406960 is about 5235.1657089341. The cubic root of 27406960 is about 301.4997492726.

The spelling of 27406960 in words is "twenty-seven million, four hundred six thousand, nine hundred sixty".