890880 has 96 divisors (see below), whose sum is σ = 2948400. Its totient is φ = 229376.

The previous prime is 890867. The next prime is 890881. The reversal of 890880 is 88098.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30706 + ... + 30734.

2⁸⁹⁰⁸⁸⁰ is an apocalyptic number.

890880 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 890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474200).

890880 is an abundant number, since it is smaller than the sum of its proper divisors (2057520).

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

890880 is a wasteful number, since it uses less digits than its factorization.

890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 890880 is about 943.8643970402. The cubic root of 890880 is about 96.2217097944.

It can be divided in two parts, 890 and 880, that added together give a triangular number (1770 = T₅₉).

The spelling of 890880 in words is "eight hundred ninety thousand, eight hundred eighty".