90295410 has 64 divisors (see below), whose sum is σ = 229795200. Its totient is φ = 22643712.

The previous prime is 90295367. The next prime is 90295417. The reversal of 90295410 is 1459209.

It is a happy number.

It is a super-2 number, since 2×90295410² = 16306522134136200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (90295417) by changing a digit.

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, 88986 + ... + 89994.

It is an arithmetic number, because the mean of its divisors is an integer number (3590550).

Almost surely, 2^90295410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90295410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114897600).

90295410 is an abundant number, since it is smaller than the sum of its proper divisors (139499790).

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

90295410 is a wasteful number, since it uses less digits than its factorization.

90295410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 90295410 is about 9502.3896994388. The cubic root of 90295410 is about 448.6302546449.

The spelling of 90295410 in words is "ninety million, two hundred ninety-five thousand, four hundred ten".