90251000 has 64 divisors (see below), whose sum is σ = 241375680. Its totient is φ = 30940800.

The previous prime is 90250991. The next prime is 90251017. The reversal of 90251000 is 15209.

It is a self number, because there is not a number n which added to its sum of digits gives 90251000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554 + ... + 13446.

It is an arithmetic number, because the mean of its divisors is an integer number (3771495).

Almost surely, 2^90251000 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 90251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120687840).

90251000 is an abundant number, since it is smaller than the sum of its proper divisors (151124680).

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

90251000 is a wasteful number, since it uses less digits than its factorization.

90251000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12921 (or 12907 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 90251000 is about 9500.0526314332. The cubic root of 90251000 is about 448.5566926301.

Adding to 90251000 its reverse (15209), we get a palindrome (90266209).

The spelling of 90251000 in words is "ninety million, two hundred fifty-one thousand".