90268590 has 64 divisors (see below), whose sum is σ = 231413760. Its totient is φ = 22485120.

The previous prime is 90268579. The next prime is 90268597. The reversal of 90268590 is 9586209.

It is a happy number.

It is a super-3 number, since 3×90268590³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90268597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25297 + ... + 28643.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840).

Almost surely, 2^90268590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90268590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706880).

90268590 is an abundant number, since it is smaller than the sum of its proper divisors (141145170).

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

90268590 is a wasteful number, since it uses less digits than its factorization.

90268590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 90268590 is about 9500.9783706732. The cubic root of 90268590 is about 448.5858321029.

The spelling of 90268590 in words is "ninety million, two hundred sixty-eight thousand, five hundred ninety".