890308386240 has 672 divisors, whose sum is σ = 3506489035776. Its totient is φ = 187398881280.

The previous prime is 890308386221. The next prime is 890308386241. The reversal of 890308386240 is 42683803098.

890308386240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890308386241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 727970269 + ... + 727971491.

Almost surely, 2^890308386240 is an apocalyptic number.

890308386240 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 890308386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753244517888).

890308386240 is an abundant number, since it is smaller than the sum of its proper divisors (2616180649536).

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

890308386240 is a wasteful number, since it uses less digits than its factorization.

890308386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 890308386240 in words is "eight hundred ninety billion, three hundred eight million, three hundred eighty-six thousand, two hundred forty".