890505240 has 128 divisors (see below), whose sum is σ = 2795627520. Its totient is φ = 226688000.

The previous prime is 890505229. The next prime is 890505247. The reversal of 890505240 is 42505098.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890505247) 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, 229315 + ... + 233165.

It is an arithmetic number, because the mean of its divisors is an integer number (21840840).

Almost surely, 2^890505240 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 890505240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397813760).

890505240 is an abundant number, since it is smaller than the sum of its proper divisors (1905122280).

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

890505240 is a wasteful number, since it uses less digits than its factorization.

890505240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 890505240 is about 29841.3344205650. The cubic root of 890505240 is about 962.0821560678.

The spelling of 890505240 in words is "eight hundred ninety million, five hundred five thousand, two hundred forty".