90820940 has 96 divisors (see below), whose sum is σ = 227525760. Its totient is φ = 29804544.

The previous prime is 90820937. The next prime is 90820957. The reversal of 90820940 is 4902809.

It is a junction number, because it is equal to n+sod(n) for n = 90820897 and 90820906.

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 31 ways as a sum of consecutive naturals, for example, 460922 + ... + 461118.

It is an arithmetic number, because the mean of its divisors is an integer number (2370060).

Almost surely, 2^90820940 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 90820940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762880).

90820940 is an abundant number, since it is smaller than the sum of its proper divisors (136704820).

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

90820940 is a wasteful number, since it uses less digits than its factorization.

90820940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 90820940 is about 9530.0020986357. The cubic root of 90820940 is about 449.4989319876.

The spelling of 90820940 in words is "ninety million, eight hundred twenty thousand, nine hundred forty".