890114400 has 648 divisors, whose sum is σ = 3878423640. Its totient is φ = 196439040.

The previous prime is 890114399. The next prime is 890114431. The reversal of 890114400 is 4411098.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 30693586 + ... + 30693614.

Almost surely, 2^890114400 is an apocalyptic number.

890114400 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 890114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939211820).

890114400 is an abundant number, since it is smaller than the sum of its proper divisors (2988309240).

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

890114400 is a wasteful number, since it uses less digits than its factorization.

890114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 890114400 is about 29834.7850670991. The cubic root of 890114400 is about 961.9413838418.

Adding to 890114400 its reverse (4411098), we get a palindrome (894525498).

The spelling of 890114400 in words is "eight hundred ninety million, one hundred fourteen thousand, four hundred".