89370720 has 144 divisors (see below), whose sum is σ = 310997232. Its totient is φ = 23362560.

The previous prime is 89370719. The next prime is 89370733. The reversal of 89370720 is 2707398.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75735 + ... + 76905.

It is an arithmetic number, because the mean of its divisors is an integer number (2159703).

Almost surely, 2^89370720 is an apocalyptic number.

89370720 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 89370720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155498616).

89370720 is an abundant number, since it is smaller than the sum of its proper divisors (221626512).

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

89370720 is a wasteful number, since it uses less digits than its factorization.

89370720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 89370720 is about 9453.6088347255. The cubic root of 89370720 is about 447.0935647870.

The spelling of 89370720 in words is "eighty-nine million, three hundred seventy thousand, seven hundred twenty".