253622016 has 162 divisors, whose sum is σ = 764370152. Its totient is φ = 83980800.

The previous prime is 253622003. The next prime is 253622027. The reversal of 253622016 is 610226352.

253622016 is a `hidden beast` number, since 25 + 3 + 622 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (162).

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1679541 + ... + 1679691.

Almost surely, 2^253622016 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 253622016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382185076).

253622016 is an abundant number, since it is smaller than the sum of its proper divisors (510748136).

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

253622016 is an frugal number, since it uses more digits than its factorization.

253622016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 253622016 is about 15925.5146227681. The cubic root of 253622016 is about 632.9882525167.

Adding to 253622016 its reverse (610226352), we get a palindrome (863848368).

The spelling of 253622016 in words is "two hundred fifty-three million, six hundred twenty-two thousand, sixteen".