880516 has 48 divisors (see below), whose sum is σ = 1975680. Its totient is φ = 334080.

The previous prime is 880513. The next prime is 880519. The reversal of 880516 is 615088.

880516 = 16³ + 17³ + ... + 43³.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (880513) and next prime (880519).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (880513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14895 + ... + 14953.

It is an arithmetic number, because the mean of its divisors is an integer number (41160).

2⁸⁸⁰⁵¹⁶ 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 880516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987840).

880516 is an abundant number, since it is smaller than the sum of its proper divisors (1095164).

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

880516 is a wasteful number, since it uses less digits than its factorization.

880516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 880516 is about 938.3581405839. The cubic root of 880516 is about 95.8471235774.

The spelling of 880516 in words is "eight hundred eighty thousand, five hundred sixteen".