89691840 has 224 divisors, whose sum is σ = 361858560. Its totient is φ = 20487168.

The previous prime is 89691821. The next prime is 89691841. The reversal of 89691840 is 4819698.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (89691841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 59739 + ... + 61221.

It is an arithmetic number, because the mean of its divisors is an integer number (1615440).

Almost surely, 2^89691840 is an apocalyptic number.

89691840 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 89691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180929280).

89691840 is an abundant number, since it is smaller than the sum of its proper divisors (272166720).

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

89691840 is a wasteful number, since it uses less digits than its factorization.

89691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 89691840 is about 9470.5775959020. The cubic root of 89691840 is about 447.6284121145.

The spelling of 89691840 in words is "eighty-nine million, six hundred ninety-one thousand, eight hundred forty".