890227440 has 240 divisors, whose sum is σ = 3189090528. Its totient is φ = 221773824.

The previous prime is 890227417. The next prime is 890227519. The reversal of 890227440 is 44722098.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 890227395 and 890227404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3145539 + ... + 3145821.

Almost surely, 2^890227440 is an apocalyptic number.

890227440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890227440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594545264).

890227440 is an abundant number, since it is smaller than the sum of its proper divisors (2298863088).

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

890227440 is a wasteful number, since it uses less digits than its factorization.

890227440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 890227440 is about 29836.6794399109. The cubic root of 890227440 is about 961.9821026720.

The spelling of 890227440 in words is "eight hundred ninety million, two hundred twenty-seven thousand, four hundred forty".