890226720 has 192 divisors, whose sum is σ = 3132017280. Its totient is φ = 236160000.

The previous prime is 890226679. The next prime is 890226731. The reversal of 890226720 is 27622098.

It is a super-2 number, since 2×890226720² = 1585007226003916800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083910 + ... + 1084730.

It is an arithmetic number, because the mean of its divisors is an integer number (16312590).

Almost surely, 2^890226720 is an apocalyptic number.

890226720 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 890226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566008640).

890226720 is an abundant number, since it is smaller than the sum of its proper divisors (2241790560).

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

890226720 is a wasteful number, since it uses less digits than its factorization.

890226720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 890226720 is about 29836.6673742226. The cubic root of 890226720 is about 961.9818433273.

The spelling of 890226720 in words is "eight hundred ninety million, two hundred twenty-six thousand, seven hundred twenty".