90884820 has 72 divisors (see below), whose sum is σ = 275589216. Its totient is φ = 22369152.

The previous prime is 90884797. The next prime is 90884821. The reversal of 90884820 is 2848809.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90884821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5659 + ... + 14621.

It is an arithmetic number, because the mean of its divisors is an integer number (3827628).

Almost surely, 2^90884820 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 90884820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137794608).

90884820 is an abundant number, since it is smaller than the sum of its proper divisors (184704396).

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

90884820 is a wasteful number, since it uses less digits than its factorization.

90884820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9001 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 90884820 is about 9533.3530302827. The cubic root of 90884820 is about 449.6042941148.

The spelling of 90884820 in words is "ninety million, eight hundred eighty-four thousand, eight hundred twenty".