890695680 has 416 divisors, whose sum is σ = 3459878400. Its totient is φ = 191102976.

The previous prime is 890695657. The next prime is 890695717. The reversal of 890695680 is 86596098.

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 31 ways as a sum of consecutive naturals, for example, 8171466 + ... + 8171574.

Almost surely, 2^890695680 is an apocalyptic number.

890695680 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 890695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729939200).

890695680 is an abundant number, since it is smaller than the sum of its proper divisors (2569182720).

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

890695680 is a wasteful number, since it uses less digits than its factorization.

890695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 890695680 is about 29844.5251260596. The cubic root of 890695680 is about 962.1507335668.

It can be divided in two parts, 89069 and 5680, that added together give a palindrome (94749).

The spelling of 890695680 in words is "eight hundred ninety million, six hundred ninety-five thousand, six hundred eighty".