90502020 has 216 divisors, whose sum is σ = 330640128. Its totient is φ = 19958400.

The previous prime is 90501977. The next prime is 90502031. The reversal of 90502020 is 2020509.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 90501984 and 90502002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273255 + ... + 273585.

Almost surely, 2^90502020 is an apocalyptic number.

90502020 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 90502020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165320064).

90502020 is an abundant number, since it is smaller than the sum of its proper divisors (240138108).

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

90502020 is a wasteful number, since it uses less digits than its factorization.

90502020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 90502020 is about 9513.2549634707. The cubic root of 90502020 is about 448.9721726859.

Adding to 90502020 its reverse (2020509), we get a palindrome (92522529).

The spelling of 90502020 in words is "ninety million, five hundred two thousand, twenty".