275891616 has 576 divisors, whose sum is σ = 1126137600. Its totient is φ = 63866880.

The previous prime is 275891549. The next prime is 275891617. The reversal of 275891616 is 616198572.

275891616 is a `hidden beast` number, since 2 + 7 + 589 + 1 + 61 + 6 = 666.

It is a super-2 number, since 2×275891616² = 152232367558182912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (181440) is a multiple of the sum of its prime factors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275891617) 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 95 ways as a sum of consecutive naturals, for example, 9513490 + ... + 9513518.

It is an arithmetic number, because the mean of its divisors is an integer number (1955100).

Almost surely, 2^275891616 is an apocalyptic number.

275891616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275891616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563068800).

275891616 is an abundant number, since it is smaller than the sum of its proper divisors (850245984).

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

275891616 is a wasteful number, since it uses less digits than its factorization.

275891616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 275891616 is about 16609.9854304572. The cubic root of 275891616 is about 650.9977701722.

The spelling of 275891616 in words is "two hundred seventy-five million, eight hundred ninety-one thousand, six hundred sixteen".