253714068 has 144 divisors (see below), whose sum is σ = 706305600. Its totient is φ = 76515840.

The previous prime is 253714039. The next prime is 253714091. The reversal of 253714068 is 860417352.

It is a super-2 number, since 2×253714068² = 128741656602217248, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2327598 + ... + 2327706.

It is an arithmetic number, because the mean of its divisors is an integer number (4904900).

Almost surely, 2^253714068 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 253714068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353152800).

253714068 is an abundant number, since it is smaller than the sum of its proper divisors (452591532).

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

253714068 is a wasteful number, since it uses less digits than its factorization.

253714068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 253714068 is about 15928.4044398678. The cubic root of 253714068 is about 633.0648241902.

The spelling of 253714068 in words is "two hundred fifty-three million, seven hundred fourteen thousand, sixty-eight".