89141760 has 240 divisors, whose sum is σ = 318856824. Its totient is φ = 23003136.

The previous prime is 89141753. The next prime is 89141779. The reversal of 89141760 is 6714198.

It can be written as a sum of positive squares in 4 ways, for example, as 80568576 + 8573184 = 8976^2 + 2928^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221084 + ... + 1221156.

Almost surely, 2^89141760 is an apocalyptic number.

89141760 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 89141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159428412).

89141760 is an abundant number, since it is smaller than the sum of its proper divisors (229715064).

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

89141760 is a wasteful number, since it uses less digits than its factorization.

89141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 89141760 is about 9441.4914076114. The cubic root of 89141760 is about 446.7114333489.

The spelling of 89141760 in words is "eighty-nine million, one hundred forty-one thousand, seven hundred sixty".