90250000 has 105 divisors (see below), whose sum is σ = 230680641. Its totient is φ = 34200000.

The previous prime is 90249997. The next prime is 90250007. The reversal of 90250000 is 5209.

The square root of 90250000 is 9500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 79067664 + 11182336 = 8892^2 + 3344^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90250007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 4749991 + ... + 4750009.

Almost surely, 2^90250000 is an apocalyptic number.

90250000 is the 9500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90250000

90250000 is an abundant number, since it is smaller than the sum of its proper divisors (140430641).

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

90250000 is an frugal number, since it uses more digits than its factorization.

90250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The cubic root of 90250000 is about 448.5550359232. Note that the first 3 decimals are identical.

Multiplying 90250000 by its sum of digits (16), we get a square (1444000000 = 38000²).

90250000 divided by its sum of digits (16) gives a square (5640625 = 2375²).

Adding to 90250000 its reverse (5209), we get a palindrome (90255209).

The spelling of 90250000 in words is "ninety million, two hundred fifty thousand".