264627 has 24 divisors (see below), whose sum is σ = 436240. Its totient is φ = 160380.

The previous prime is 264619. The next prime is 264631. The reversal of 264627 is 726462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 264627 - 2³ = 264619 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2³ + 6 + 6² + 4⁹ + 2⁵ + 7⁴ .

It is a Duffinian number.

Its product of digits (4032) is a multiple of the sum of its prime divisors (14).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 264627.

It is not an unprimeable number, because it can be changed into a prime (264637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24052 + ... + 24062.

2²⁶⁴⁶²⁷ is an apocalyptic number.

264627 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

264627 is a deficient number, since it is larger than the sum of its proper divisors (171613).

264627 is an frugal number, since it uses more digits than its factorization.

264627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 14 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 264627 is about 514.4190898480. The cubic root of 264627 is about 64.2014324076.

Multiplying 264627 by its sum of digits (27), we get a square (7144929 = 2673²).

264627 divided by its sum of digits (27) gives a square (9801 = 99²).

The spelling of 264627 in words is "two hundred sixty-four thousand, six hundred twenty-seven".