254681616 has 160 divisors (see below), whose sum is σ = 793600000. Its totient is φ = 70277760.

The previous prime is 254681591. The next prime is 254681617. The reversal of 254681616 is 616186452.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (254681617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510135 + ... + 510633.

It is an arithmetic number, because the mean of its divisors is an integer number (4960000).

Almost surely, 2^254681616 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 254681616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396800000).

254681616 is an abundant number, since it is smaller than the sum of its proper divisors (538918384).

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

254681616 is a wasteful number, since it uses less digits than its factorization.

254681616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 542 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 254681616 is about 15958.7473192604. The cubic root of 254681616 is about 633.8685421070.

The spelling of 254681616 in words is "two hundred fifty-four million, six hundred eighty-one thousand, six hundred sixteen".