87759216 has 60 divisors (see below), whose sum is σ = 251333368. Its totient is φ = 28570752.

The previous prime is 87759211. The next prime is 87759239. The reversal of 87759216 is 61295778.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87759211) by changing a digit.

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, 895 + ... + 13278.

Almost surely, 2^87759216 is an apocalyptic number.

87759216 is a gapful number since it is divisible by the number (86) 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 87759216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125666684).

87759216 is an abundant number, since it is smaller than the sum of its proper divisors (163574152).

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

87759216 is a wasteful number, since it uses less digits than its factorization.

87759216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14230 (or 14221 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 87759216 is about 9367.9888983709. The cubic root of 87759216 is about 444.3899666189.

The spelling of 87759216 in words is "eighty-seven million, seven hundred fifty-nine thousand, two hundred sixteen".