890127360 has 352 divisors, whose sum is σ = 3254238720. Its totient is φ = 230621184.

The previous prime is 890127349. The next prime is 890127367. The reversal of 890127360 is 63721098.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890127367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6497212 + ... + 6497348.

Almost surely, 2^890127360 is an apocalyptic number.

890127360 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 890127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627119360).

890127360 is an abundant number, since it is smaller than the sum of its proper divisors (2364111360).

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

890127360 is a wasteful number, since it uses less digits than its factorization.

890127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 890127360 is about 29835.0022624434. The cubic root of 890127360 is about 961.9460524177.

The spelling of 890127360 in words is "eight hundred ninety million, one hundred twenty-seven thousand, three hundred sixty".