90244960 has 96 divisors (see below), whose sum is σ = 235176480. Its totient is φ = 32514048.

The previous prime is 90244951. The next prime is 90244967. The reversal of 90244960 is 6944209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90244967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88936 + ... + 89944.

It is an arithmetic number, because the mean of its divisors is an integer number (2449755).

Almost surely, 2^90244960 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 90244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117588240).

90244960 is an abundant number, since it is smaller than the sum of its proper divisors (144931520).

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

90244960 is a wasteful number, since it uses less digits than its factorization.

90244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 90244960 is about 9499.7347331386. The cubic root of 90244960 is about 448.5466859345.

It can be divided in two parts, 90244 and 960, that added together give a square (91204 = 302²).

The spelling of 90244960 in words is "ninety million, two hundred forty-four thousand, nine hundred sixty".