880011360 has 144 divisors (see below), whose sum is σ = 3012675120. Its totient is φ = 233917440.

The previous prime is 880011359. The next prime is 880011361. The reversal of 880011360 is 63110088.

It is an interprime number because it is at equal distance from previous prime (880011359) and next prime (880011361).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880011361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559375 + ... + 560945.

It is an arithmetic number, because the mean of its divisors is an integer number (20921355).

Almost surely, 2^880011360 is an apocalyptic number.

880011360 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 880011360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506337560).

880011360 is an abundant number, since it is smaller than the sum of its proper divisors (2132663760).

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

880011360 is a wasteful number, since it uses less digits than its factorization.

880011360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 880011360 is about 29664.9854205257. The cubic root of 880011360 is about 958.2880949198.

The spelling of 880011360 in words is "eight hundred eighty million, eleven thousand, three hundred sixty".