90420360 has 96 divisors (see below), whose sum is σ = 284627520. Its totient is φ = 22936320.

The previous prime is 90420329. The next prime is 90420371. The reversal of 90420360 is 6302409.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 90420360.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499470 + ... + 499650.

It is an arithmetic number, because the mean of its divisors is an integer number (2964870).

Almost surely, 2^90420360 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 90420360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142313760).

90420360 is an abundant number, since it is smaller than the sum of its proper divisors (194207160).

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

90420360 is a wasteful number, since it uses less digits than its factorization.

90420360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 214 counting only the distinct ones).

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

The square root of 90420360 is about 9508.9620884721. The cubic root of 90420360 is about 448.8370961422.

Adding to 90420360 its reverse (6302409), we get a palindrome (96722769).

The spelling of 90420360 in words is "ninety million, four hundred twenty thousand, three hundred sixty".