90302120320 has 64 divisors (see below), whose sum is σ = 216417471840. Its totient is φ = 36030668800.

The previous prime is 90302120309. The next prime is 90302120329. The reversal of 90302120320 is 2302120309.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 90302120291 and 90302120300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90302120329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80709 + ... + 432571.

Almost surely, 2^90302120320 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 90302120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108208735920).

90302120320 is an abundant number, since it is smaller than the sum of its proper divisors (126115351520).

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

90302120320 is a wasteful number, since it uses less digits than its factorization.

90302120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352283 (or 352271 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 90302120320 its reverse (2302120309), we get a palindrome (92604240629).

The spelling of 90302120320 in words is "ninety billion, three hundred two million, one hundred twenty thousand, three hundred twenty".