27085464 has 96 divisors (see below), whose sum is σ = 85307040. Its totient is φ = 7603200.

The previous prime is 27085447. The next prime is 27085481. The reversal of 27085464 is 46458072.

It is an interprime number because it is at equal distance from previous prime (27085447) and next prime (27085481).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30304 + ... + 31184.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^27085464 is an apocalyptic number.

27085464 is a gapful number since it is divisible by the number (24) 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 27085464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

27085464 is an abundant number, since it is smaller than the sum of its proper divisors (58221576).

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

27085464 is a wasteful number, since it uses less digits than its factorization.

27085464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 27085464 is about 5204.3697024712. The cubic root of 27085464 is about 300.3161999416.

The spelling of 27085464 in words is "twenty-seven million, eighty-five thousand, four hundred sixty-four".