427664 has 10 divisors (see below), whose sum is σ = 828630. Its totient is φ = 213824.

The previous prime is 427621. The next prime is 427681. The reversal of 427664 is 466724.

It can be written as a sum of positive squares in only one way, i.e., 384400 + 43264 = 620^2 + 208^2 .

It is an unprimeable number.

427664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13349 + ... + 13380.

It is an arithmetic number, because the mean of its divisors is an integer number (82863).

2⁴²⁷⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

427664 is a deficient number, since it is larger than the sum of its proper divisors (400966).

427664 is a wasteful number, since it uses less digits than its factorization.

427664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26737 (or 26731 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 427664 is about 653.9602434399. The cubic root of 427664 is about 75.3414945779.

Subtracting 427664 from its reverse (466724), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 427664 in words is "four hundred twenty-seven thousand, six hundred sixty-four".