89320345920 has 392 divisors, whose sum is σ = 343437292296. Its totient is φ = 21985800192.

The previous prime is 89320345901. The next prime is 89320345927. The reversal of 89320345920 is 2954302398.

It is a happy number.

89320345920 is a `hidden beast` number, since 8 + 9 + 3 + 20 + 34 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1239603264 + 88080742656 = 35208^2 + 296784^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89320345927) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3017914 + ... + 3047366.

Almost surely, 2^89320345920 is an apocalyptic number.

89320345920 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 89320345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171718646148).

89320345920 is an abundant number, since it is smaller than the sum of its proper divisors (254116946376).

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

89320345920 is a wasteful number, since it uses less digits than its factorization.

89320345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29501 (or 29476 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 89320345920 in words is "eighty-nine billion, three hundred twenty million, three hundred forty-five thousand, nine hundred twenty".