90642300 has 144 divisors (see below), whose sum is σ = 317479680. Its totient is φ = 19491840.

The previous prime is 90642271. The next prime is 90642301. The reversal of 90642300 is 324609.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90642301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34431 + ... + 36969.

It is an arithmetic number, because the mean of its divisors is an integer number (2204720).

Almost surely, 2^90642300 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 90642300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739840).

90642300 is an abundant number, since it is smaller than the sum of its proper divisors (226837380).

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

90642300 is a wasteful number, since it uses less digits than its factorization.

90642300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 90642300 is about 9520.6249794853. The cubic root of 90642300 is about 449.2040249817.

Adding to 90642300 its reverse (324609), we get a palindrome (90966909).

The spelling of 90642300 in words is "ninety million, six hundred forty-two thousand, three hundred".