253562616 has 128 divisors (see below), whose sum is σ = 751680000. Its totient is φ = 78921216.

The previous prime is 253562597. The next prime is 253562627. The reversal of 253562616 is 616265352.

It is a happy number.

253562616 is a `hidden beast` number, since 2 + 5 + 35 + 6 + 2 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730555 + ... + 730901.

It is an arithmetic number, because the mean of its divisors is an integer number (5872500).

Almost surely, 2^253562616 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 253562616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375840000).

253562616 is an abundant number, since it is smaller than the sum of its proper divisors (498117384).

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

253562616 is a wasteful number, since it uses less digits than its factorization.

253562616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 568 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 253562616 is about 15923.6495816757. The cubic root of 253562616 is about 632.9388319412.

It can be divided in two parts, 25356 and 2616, that added together give a palindrome (27972).

The spelling of 253562616 in words is "two hundred fifty-three million, five hundred sixty-two thousand, six hundred sixteen".