89978616 has 192 divisors, whose sum is σ = 310302720. Its totient is φ = 22913280.

The previous prime is 89978597. The next prime is 89978627. The reversal of 89978616 is 61687998.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202891 + ... + 203333.

It is an arithmetic number, because the mean of its divisors is an integer number (1616160).

Almost surely, 2^89978616 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 89978616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155151360).

89978616 is an abundant number, since it is smaller than the sum of its proper divisors (220324104).

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

89978616 is a wasteful number, since it uses less digits than its factorization.

89978616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 499 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 89978616 is about 9485.7058777932. The cubic root of 89978616 is about 448.1049791187.

The spelling of 89978616 in words is "eighty-nine million, nine hundred seventy-eight thousand, six hundred sixteen".