890503680 has 320 divisors, whose sum is σ = 3167797248. Its totient is φ = 211599360.

The previous prime is 890503643. The next prime is 890503687. The reversal of 890503680 is 86305098.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890503687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7011777 + ... + 7011903.

Almost surely, 2^890503680 is an apocalyptic number.

890503680 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 890503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583898624).

890503680 is an abundant number, since it is smaller than the sum of its proper divisors (2277293568).

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

890503680 is a wasteful number, since it uses less digits than its factorization.

890503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 890503680 is about 29841.3082823123. The cubic root of 890503680 is about 962.0815942710.

The spelling of 890503680 in words is "eight hundred ninety million, five hundred three thousand, six hundred eighty".