87283296 has 72 divisors (see below), whose sum is σ = 254951424. Its totient is φ = 28304640.

The previous prime is 87283289. The next prime is 87283303. The reversal of 87283296 is 69238278.

87283296 is a `hidden beast` number, since 87 + 283 + 296 = 666.

It is an interprime number because it is at equal distance from previous prime (87283289) and next prime (87283303).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6561 + ... + 14751.

It is an arithmetic number, because the mean of its divisors is an integer number (3540992).

Almost surely, 2^87283296 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 87283296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127475712).

87283296 is an abundant number, since it is smaller than the sum of its proper divisors (167668128).

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

87283296 is a wasteful number, since it uses less digits than its factorization.

87283296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8233 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 87283296 is about 9342.5529701469. The cubic root of 87283296 is about 443.5851981825.

The spelling of 87283296 in words is "eighty-seven million, two hundred eighty-three thousand, two hundred ninety-six".