245616 has 80 divisors (see below), whose sum is σ = 785664. Its totient is φ = 64512.

The previous prime is 245593. The next prime is 245621. The reversal of 245616 is 616542.

245616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1440) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

245616 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 15 ways as a sum of consecutive naturals, for example, 5691 + ... + 5733.

2²⁴⁵⁶¹⁶ 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 245616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392832).

245616 is an abundant number, since it is smaller than the sum of its proper divisors (540048).

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

245616 is a wasteful number, since it uses less digits than its factorization.

245616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 245616 is about 495.5966101579. The cubic root of 245616 is about 62.6256459071.

It can be divided in two parts, 245 and 616, that added together give a triangular number (861 = T₄₁).

The spelling of 245616 in words is "two hundred forty-five thousand, six hundred sixteen".