880416 has 48 divisors (see below), whose sum is σ = 2570400. Its totient is φ = 293184.

The previous prime is 880409. The next prime is 880421. The reversal of 880416 is 614088.

880416 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 880416.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355 + ... + 1373.

It is an arithmetic number, because the mean of its divisors is an integer number (53550).

2⁸⁸⁰⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285200).

880416 is an abundant number, since it is smaller than the sum of its proper divisors (1689984).

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

880416 is a wasteful number, since it uses less digits than its factorization.

880416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 880416 is about 938.3048545116. The cubic root of 880416 is about 95.8434949947.

It can be divided in two parts, 880 and 416, that added together give a 4-th power (1296 = 6⁴).

The spelling of 880416 in words is "eight hundred eighty thousand, four hundred sixteen".