89760216 has 128 divisors (see below), whose sum is σ = 280465920. Its totient is φ = 23307264.

The previous prime is 89760179. The next prime is 89760239. The reversal of 89760216 is 61206798.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 159151 + ... + 159713.

It is an arithmetic number, because the mean of its divisors is an integer number (2191140).

Almost surely, 2^89760216 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 89760216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140232960).

89760216 is an abundant number, since it is smaller than the sum of its proper divisors (190705704).

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

89760216 is a wasteful number, since it uses less digits than its factorization.

89760216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 89760216 is about 9474.1868252637. The cubic root of 89760216 is about 447.7421321062.

The spelling of 89760216 in words is "eighty-nine million, seven hundred sixty thousand, two hundred sixteen".