27076640 has 96 divisors (see below), whose sum is σ = 67931136. Its totient is φ = 10183680.

The previous prime is 27076613. The next prime is 27076661. The reversal of 27076640 is 4667072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 27076597 and 27076606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262829 + ... + 262931.

It is an arithmetic number, because the mean of its divisors is an integer number (707616).

Almost surely, 2^27076640 is an apocalyptic number.

27076640 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 27076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33965568).

27076640 is an abundant number, since it is smaller than the sum of its proper divisors (40854496).

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

27076640 is a wasteful number, since it uses less digits than its factorization.

27076640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 27076640 is about 5203.5218842626. The cubic root of 27076640 is about 300.2835837017.

The spelling of 27076640 in words is "twenty-seven million, seventy-six thousand, six hundred forty".