264616 has 32 divisors (see below), whose sum is σ = 564480. Its totient is φ = 115200.

The previous prime is 264601. The next prime is 264619. The reversal of 264616 is 616462.

264616 = T₂₄ + T₂₅ + ... + T₁₁₆.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264619) by changing a digit.

264616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2680 + ... + 2776.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2²⁶⁴⁶¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

264616 is an abundant number, since it is smaller than the sum of its proper divisors (299864).

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

264616 is a wasteful number, since it uses less digits than its factorization.

264616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 264616 is about 514.4083980652. The cubic root of 264616 is about 64.2005428214.

It can be divided in two parts, 26461 and 6, that multiplied together give a triangular number (158766 = T₅₆₃).

The spelling of 264616 in words is "two hundred sixty-four thousand, six hundred sixteen".