89739280 has 80 divisors (see below), whose sum is σ = 224896320. Its totient is φ = 33191424.

The previous prime is 89739227. The next prime is 89739313. The reversal of 89739280 is 8293798.

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

It is a self number, because there is not a number n which added to its sum of digits gives 89739280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64674 + ... + 66046.

It is an arithmetic number, because the mean of its divisors is an integer number (2811204).

Almost surely, 2^89739280 is an apocalyptic number.

89739280 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 89739280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112448160).

89739280 is an abundant number, since it is smaller than the sum of its proper divisors (135157040).

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

89739280 is a wasteful number, since it uses less digits than its factorization.

89739280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 89739280 is about 9473.0818638920. The cubic root of 89739280 is about 447.7073183970.

The spelling of 89739280 in words is "eighty-nine million, seven hundred thirty-nine thousand, two hundred eighty".