27685464 has 64 divisors (see below), whose sum is σ = 71702400. Its totient is φ = 8902656.

The previous prime is 27685457. The next prime is 27685481. The reversal of 27685464 is 46458672.

27685464 = 365² + 366² + ... + 508².

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (322560) is a multiple of the sum of its prime factors (384).

It is a congruent number.

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, 143352 + ... + 143544.

It is an arithmetic number, because the mean of its divisors is an integer number (1120350).

Almost surely, 2^27685464 is an apocalyptic number.

27685464 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 27685464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35851200).

27685464 is an abundant number, since it is smaller than the sum of its proper divisors (44016936).

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

27685464 is a wasteful number, since it uses less digits than its factorization.

27685464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 27685464 is about 5261.6978248470. The cubic root of 27685464 is about 302.5175692730.

The spelling of 27685464 in words is "twenty-seven million, six hundred eighty-five thousand, four hundred sixty-four".