90800922240 has 1280 divisors, whose sum is σ = 403079846400. Its totient is φ = 19004129280.

The previous prime is 90800922229. The next prime is 90800922269. The reversal of 90800922240 is 4222900809.

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

It is a junction number, because it is equal to n+sod(n) for n = 90800922195 and 90800922204.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 252927181 + ... + 252927539.

It is an arithmetic number, because the mean of its divisors is an integer number (314906130).

Almost surely, 2^90800922240 is an apocalyptic number.

90800922240 is a gapful number since it is divisible by the number (90) 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 90800922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201539923200).

90800922240 is an abundant number, since it is smaller than the sum of its proper divisors (312278924160).

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

90800922240 is a wasteful number, since it uses less digits than its factorization.

90800922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 90800922240 in words is "ninety billion, eight hundred million, nine hundred twenty-two thousand, two hundred forty".