90202820 has 48 divisors (see below), whose sum is σ = 197588160. Its totient is φ = 34559616.

The previous prime is 90202813. The next prime is 90202843. The reversal of 90202820 is 2820209.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44591 + ... + 46569.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 2^90202820 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 90202820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

90202820 is an abundant number, since it is smaller than the sum of its proper divisors (107385340).

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

90202820 is a wasteful number, since it uses less digits than its factorization.

90202820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 90202820 is about 9497.5165174902. The cubic root of 90202820 is about 448.4768585809.

The spelling of 90202820 in words is "ninety million, two hundred two thousand, eight hundred twenty".