89939760 has 80 divisors (see below), whose sum is σ = 279744000. Its totient is φ = 23904000.

The previous prime is 89939719. The next prime is 89939761. The reversal of 89939760 is 6793998.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (89939761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119385 + ... + 120135.

It is an arithmetic number, because the mean of its divisors is an integer number (3496800).

Almost surely, 2^89939760 is an apocalyptic number.

89939760 is a gapful number since it is divisible by the number (80) 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 89939760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139872000).

89939760 is an abundant number, since it is smaller than the sum of its proper divisors (189804240).

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

89939760 is a wasteful number, since it uses less digits than its factorization.

89939760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 89939760 is about 9483.6575222854. The cubic root of 89939760 is about 448.0404672204.

The spelling of 89939760 in words is "eighty-nine million, nine hundred thirty-nine thousand, seven hundred sixty".