89779968 has 144 divisors (see below), whose sum is σ = 274713600. Its totient is φ = 28892160.

The previous prime is 89779957. The next prime is 89779973. The reversal of 89779968 is 86997798.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 214063 + ... + 214481.

Almost surely, 2^89779968 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 89779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137356800).

89779968 is an abundant number, since it is smaller than the sum of its proper divisors (184933632).

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

89779968 is a wasteful number, since it uses less digits than its factorization.

89779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 455 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The square root of 89779968 is about 9475.2291792864. The cubic root of 89779968 is about 447.7749720226.

The spelling of 89779968 in words is "eighty-nine million, seven hundred seventy-nine thousand, nine hundred sixty-eight".