89705340 has 96 divisors (see below), whose sum is σ = 280546560. Its totient is φ = 23796288.

The previous prime is 89705333. The next prime is 89705347. The reversal of 89705340 is 4350798.

It is an interprime number because it is at equal distance from previous prime (89705333) and next prime (89705347).

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 89705295 and 89705304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89705347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152527 + ... + 153113.

It is an arithmetic number, because the mean of its divisors is an integer number (2922360).

Almost surely, 2^89705340 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 89705340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140273280).

89705340 is an abundant number, since it is smaller than the sum of its proper divisors (190841220).

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

89705340 is a wasteful number, since it uses less digits than its factorization.

89705340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 89705340 is about 9471.2903028046. The cubic root of 89705340 is about 447.6508693057.

The spelling of 89705340 in words is "eighty-nine million, seven hundred five thousand, three hundred forty".