890120000 has 420 divisors, whose sum is σ = 2923239264. Its totient is φ = 261120000.

The previous prime is 890119973. The next prime is 890120003. The reversal of 890120000 is 21098.

It is a super-2 number, since 2×890120000² = 1584627228800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890120003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52359992 + ... + 52360008.

Almost surely, 2^890120000 is an apocalyptic number.

890120000 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 890120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461619632).

890120000 is an abundant number, since it is smaller than the sum of its proper divisors (2033119264).

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

890120000 is a wasteful number, since it uses less digits than its factorization.

890120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 890120000 is about 29834.8789171332. The cubic root of 890120000 is about 961.9434011332.

Adding to 890120000 its reverse (21098), we get a palindrome (890141098).

The spelling of 890120000 in words is "eight hundred ninety million, one hundred twenty thousand".