90258630 has 128 divisors (see below), whose sum is σ = 276950016. Its totient is φ = 18278400.

The previous prime is 90258583. The next prime is 90258631. The reversal of 90258630 is 3685209.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90258591 and 90258600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90258631) 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 63 ways as a sum of consecutive naturals, for example, 94234 + ... + 95186.

It is an arithmetic number, because the mean of its divisors is an integer number (2163672).

Almost surely, 2^90258630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90258630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138475008).

90258630 is an abundant number, since it is smaller than the sum of its proper divisors (186691386).

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

90258630 is a wasteful number, since it uses less digits than its factorization.

90258630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 90258630 is about 9500.4541996686. The cubic root of 90258630 is about 448.5693329005.

The spelling of 90258630 in words is "ninety million, two hundred fifty-eight thousand, six hundred thirty".